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Finding the Fourth Proportional to 169.61, 253.11 and 151.38

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Solution

The fourth proportional to 169.61, 253.11 and 151.38 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.61 : 253.11 = 151.38 : x
  2. Step 2: Convert to fraction form
    169.61/253.11 = 151.38/x
  3. Step 3: Cross multiply
    169.61x = 253.11 × 151.38
  4. Step 4: Simplify right side
    169.61x = 38,315.41
  5. Step 5: Solve for x
    x = 38,315.41/169.61
  6. Step 6: Final answer
    x = 225.91

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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.