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Finding the Fourth Proportional to 532.55, 734.87 and 296.44

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Solution

The fourth proportional to 532.55, 734.87 and 296.44 is: 409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.55 : 734.87 = 296.44 : x
  2. Step 2: Convert to fraction form
    532.55/734.87 = 296.44/x
  3. Step 3: Cross multiply
    532.55x = 734.87 × 296.44
  4. Step 4: Simplify right side
    532.55x = 217,844.47
  5. Step 5: Solve for x
    x = 217,844.47/532.55
  6. Step 6: Final answer
    x = 409.06

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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.