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Finding the Fourth Proportional to 256.46, 382.82 and 237.42

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Solution

The fourth proportional to 256.46, 382.82 and 237.42 is: 354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 382.82 = 237.42 : x
  2. Step 2: Convert to fraction form
    256.46/382.82 = 237.42/x
  3. Step 3: Cross multiply
    256.46x = 382.82 × 237.42
  4. Step 4: Simplify right side
    256.46x = 90,889.12
  5. Step 5: Solve for x
    x = 90,889.12/256.46
  6. Step 6: Final answer
    x = 354.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.