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Finding the Fourth Proportional to 529.13, 793.24 and 204.72

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Solution

The fourth proportional to 529.13, 793.24 and 204.72 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.13 : 793.24 = 204.72 : x
  2. Step 2: Convert to fraction form
    529.13/793.24 = 204.72/x
  3. Step 3: Cross multiply
    529.13x = 793.24 × 204.72
  4. Step 4: Simplify right side
    529.13x = 162,391.07
  5. Step 5: Solve for x
    x = 162,391.07/529.13
  6. Step 6: Final answer
    x = 306.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.