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Finding the Fourth Proportional to 540.24, 809.76 and 266.53

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Solution

The fourth proportional to 540.24, 809.76 and 266.53 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 809.76 = 266.53 : x
  2. Step 2: Convert to fraction form
    540.24/809.76 = 266.53/x
  3. Step 3: Cross multiply
    540.24x = 809.76 × 266.53
  4. Step 4: Simplify right side
    540.24x = 215,823.56
  5. Step 5: Solve for x
    x = 215,823.56/540.24
  6. Step 6: Final answer
    x = 399.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.