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Finding the Fourth Proportional to 528.96, 729.96 and 292.91

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Solution

The fourth proportional to 528.96, 729.96 and 292.91 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 729.96 = 292.91 : x
  2. Step 2: Convert to fraction form
    528.96/729.96 = 292.91/x
  3. Step 3: Cross multiply
    528.96x = 729.96 × 292.91
  4. Step 4: Simplify right side
    528.96x = 213,812.58
  5. Step 5: Solve for x
    x = 213,812.58/528.96
  6. Step 6: Final answer
    x = 404.21

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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.