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Finding the Fourth Proportional to 151.68, 209.26 and 89.49

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Solution

The fourth proportional to 151.68, 209.26 and 89.49 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.26 = 89.49 : x
  2. Step 2: Convert to fraction form
    151.68/209.26 = 89.49/x
  3. Step 3: Cross multiply
    151.68x = 209.26 × 89.49
  4. Step 4: Simplify right side
    151.68x = 18,726.68
  5. Step 5: Solve for x
    x = 18,726.68/151.68
  6. Step 6: Final answer
    x = 123.46

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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.