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Finding the Fourth Proportional to 151.67, 209.29 and 89.50

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Solution

The fourth proportional to 151.67, 209.29 and 89.50 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.67 : 209.29 = 89.50 : x
  2. Step 2: Convert to fraction form
    151.67/209.29 = 89.50/x
  3. Step 3: Cross multiply
    151.67x = 209.29 × 89.50
  4. Step 4: Simplify right side
    151.67x = 18,731.04
  5. Step 5: Solve for x
    x = 18,731.04/151.67
  6. Step 6: Final answer
    x = 123.50

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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.