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Finding the Fourth Proportional to 529.28, 729.72 and 342.44

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Solution

The fourth proportional to 529.28, 729.72 and 342.44 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.28 : 729.72 = 342.44 : x
  2. Step 2: Convert to fraction form
    529.28/729.72 = 342.44/x
  3. Step 3: Cross multiply
    529.28x = 729.72 × 342.44
  4. Step 4: Simplify right side
    529.28x = 249,885.32
  5. Step 5: Solve for x
    x = 249,885.32/529.28
  6. Step 6: Final answer
    x = 472.12

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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.