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Finding the Fourth Proportional to 151.65, 209.29 and 85.27

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Solution

The fourth proportional to 151.65, 209.29 and 85.27 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.65 : 209.29 = 85.27 : x
  2. Step 2: Convert to fraction form
    151.65/209.29 = 85.27/x
  3. Step 3: Cross multiply
    151.65x = 209.29 × 85.27
  4. Step 4: Simplify right side
    151.65x = 17,845.42
  5. Step 5: Solve for x
    x = 17,845.42/151.65
  6. Step 6: Final answer
    x = 117.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.