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Finding the Fourth Proportional to 257.38, 355.35 and 229.70

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Solution

The fourth proportional to 257.38, 355.35 and 229.70 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 355.35 = 229.70 : x
  2. Step 2: Convert to fraction form
    257.38/355.35 = 229.70/x
  3. Step 3: Cross multiply
    257.38x = 355.35 × 229.70
  4. Step 4: Simplify right side
    257.38x = 81,624.34
  5. Step 5: Solve for x
    x = 81,624.34/257.38
  6. Step 6: Final answer
    x = 317.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.