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Finding the Fourth Proportional to 257.76, 388.72 and 237.70

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Solution

The fourth proportional to 257.76, 388.72 and 237.70 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 388.72 = 237.70 : x
  2. Step 2: Convert to fraction form
    257.76/388.72 = 237.70/x
  3. Step 3: Cross multiply
    257.76x = 388.72 × 237.70
  4. Step 4: Simplify right side
    257.76x = 92,398.74
  5. Step 5: Solve for x
    x = 92,398.74/257.76
  6. Step 6: Final answer
    x = 358.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.