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Finding the Fourth Proportional to 169.75, 253.15 and 147.88

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Solution

The fourth proportional to 169.75, 253.15 and 147.88 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 253.15 = 147.88 : x
  2. Step 2: Convert to fraction form
    169.75/253.15 = 147.88/x
  3. Step 3: Cross multiply
    169.75x = 253.15 × 147.88
  4. Step 4: Simplify right side
    169.75x = 37,436.60
  5. Step 5: Solve for x
    x = 37,436.60/169.75
  6. Step 6: Final answer
    x = 220.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.