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Finding the Fourth Proportional to 257.75, 355.67 and 147.21

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Solution

The fourth proportional to 257.75, 355.67 and 147.21 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 355.67 = 147.21 : x
  2. Step 2: Convert to fraction form
    257.75/355.67 = 147.21/x
  3. Step 3: Cross multiply
    257.75x = 355.67 × 147.21
  4. Step 4: Simplify right side
    257.75x = 52,356.66
  5. Step 5: Solve for x
    x = 52,356.66/257.75
  6. Step 6: Final answer
    x = 203.13

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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.