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Finding the Fourth Proportional to 151.98, 209.72 and 86.50

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Solution

The fourth proportional to 151.98, 209.72 and 86.50 is: 119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 209.72 = 86.50 : x
  2. Step 2: Convert to fraction form
    151.98/209.72 = 86.50/x
  3. Step 3: Cross multiply
    151.98x = 209.72 × 86.50
  4. Step 4: Simplify right side
    151.98x = 18,140.78
  5. Step 5: Solve for x
    x = 18,140.78/151.98
  6. Step 6: Final answer
    x = 119.36

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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.