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Finding the Fourth Proportional to 257.13, 355.01 and 229.45

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Solution

The fourth proportional to 257.13, 355.01 and 229.45 is: 316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 355.01 = 229.45 : x
  2. Step 2: Convert to fraction form
    257.13/355.01 = 229.45/x
  3. Step 3: Cross multiply
    257.13x = 355.01 × 229.45
  4. Step 4: Simplify right side
    257.13x = 81,456.34
  5. Step 5: Solve for x
    x = 81,456.34/257.13
  6. Step 6: Final answer
    x = 316.79

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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.