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Finding the Fourth Proportional to 257.75, 355.69 and 147.22

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Solution

The fourth proportional to 257.75, 355.69 and 147.22 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 355.69 = 147.22 : x
  2. Step 2: Convert to fraction form
    257.75/355.69 = 147.22/x
  3. Step 3: Cross multiply
    257.75x = 355.69 × 147.22
  4. Step 4: Simplify right side
    257.75x = 52,364.68
  5. Step 5: Solve for x
    x = 52,364.68/257.75
  6. Step 6: Final answer
    x = 203.16

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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.