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Finding the Fourth Proportional to 151.87, 209.59 and 85.49

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Solution

The fourth proportional to 151.87, 209.59 and 85.49 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.87 : 209.59 = 85.49 : x
  2. Step 2: Convert to fraction form
    151.87/209.59 = 85.49/x
  3. Step 3: Cross multiply
    151.87x = 209.59 × 85.49
  4. Step 4: Simplify right side
    151.87x = 17,916.37
  5. Step 5: Solve for x
    x = 17,916.37/151.87
  6. Step 6: Final answer
    x = 117.97

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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.