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Finding the Fourth Proportional to 529.10, 730.37 and 381.93

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Solution

The fourth proportional to 529.10, 730.37 and 381.93 is: 527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 730.37 = 381.93 : x
  2. Step 2: Convert to fraction form
    529.10/730.37 = 381.93/x
  3. Step 3: Cross multiply
    529.10x = 730.37 × 381.93
  4. Step 4: Simplify right side
    529.10x = 278,948.30
  5. Step 5: Solve for x
    x = 278,948.30/529.10
  6. Step 6: Final answer
    x = 527.21

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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.