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Finding the Fourth Proportional to 432.19, 596.32 and 266.41

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Solution

The fourth proportional to 432.19, 596.32 and 266.41 is: 367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 596.32 = 266.41 : x
  2. Step 2: Convert to fraction form
    432.19/596.32 = 266.41/x
  3. Step 3: Cross multiply
    432.19x = 596.32 × 266.41
  4. Step 4: Simplify right side
    432.19x = 158,865.61
  5. Step 5: Solve for x
    x = 158,865.61/432.19
  6. Step 6: Final answer
    x = 367.58

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.