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Finding the Fourth Proportional to 257.24, 385.32 and 216.20

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Solution

The fourth proportional to 257.24, 385.32 and 216.20 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.32 = 216.20 : x
  2. Step 2: Convert to fraction form
    257.24/385.32 = 216.20/x
  3. Step 3: Cross multiply
    257.24x = 385.32 × 216.20
  4. Step 4: Simplify right side
    257.24x = 83,306.18
  5. Step 5: Solve for x
    x = 83,306.18/257.24
  6. Step 6: Final answer
    x = 323.85

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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.