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Finding the Fourth Proportional to 169.61, 253.97 and 145.39

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Solution

The fourth proportional to 169.61, 253.97 and 145.39 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.61 : 253.97 = 145.39 : x
  2. Step 2: Convert to fraction form
    169.61/253.97 = 145.39/x
  3. Step 3: Cross multiply
    169.61x = 253.97 × 145.39
  4. Step 4: Simplify right side
    169.61x = 36,925.33
  5. Step 5: Solve for x
    x = 36,925.33/169.61
  6. Step 6: Final answer
    x = 217.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.