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Finding the Fourth Proportional to 500.13, 749.80 and 253.20

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Solution

The fourth proportional to 500.13, 749.80 and 253.20 is: 379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 749.80 = 253.20 : x
  2. Step 2: Convert to fraction form
    500.13/749.80 = 253.20/x
  3. Step 3: Cross multiply
    500.13x = 749.80 × 253.20
  4. Step 4: Simplify right side
    500.13x = 189,851.06
  5. Step 5: Solve for x
    x = 189,851.06/500.13
  6. Step 6: Final answer
    x = 379.60

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Double scale
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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.