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Finding the Fourth Proportional to 116.61, 159.66 and 115.50

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Solution

The fourth proportional to 116.61, 159.66 and 115.50 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.61 : 159.66 = 115.50 : x
  2. Step 2: Convert to fraction form
    116.61/159.66 = 115.50/x
  3. Step 3: Cross multiply
    116.61x = 159.66 × 115.50
  4. Step 4: Simplify right side
    116.61x = 18,439.35
  5. Step 5: Solve for x
    x = 18,439.35/116.61
  6. Step 6: Final answer
    x = 158.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.