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Finding the Fourth Proportional to 257.23, 385.14 and 135.23

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Solution

The fourth proportional to 257.23, 385.14 and 135.23 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.23 : 385.14 = 135.23 : x
  2. Step 2: Convert to fraction form
    257.23/385.14 = 135.23/x
  3. Step 3: Cross multiply
    257.23x = 385.14 × 135.23
  4. Step 4: Simplify right side
    257.23x = 52,082.48
  5. Step 5: Solve for x
    x = 52,082.48/257.23
  6. Step 6: Final answer
    x = 202.47

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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.