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Finding the Fourth Proportional to 116.79, 175.31 and 97.66

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Solution

The fourth proportional to 116.79, 175.31 and 97.66 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.79 : 175.31 = 97.66 : x
  2. Step 2: Convert to fraction form
    116.79/175.31 = 97.66/x
  3. Step 3: Cross multiply
    116.79x = 175.31 × 97.66
  4. Step 4: Simplify right side
    116.79x = 17,120.77
  5. Step 5: Solve for x
    x = 17,120.77/116.79
  6. Step 6: Final answer
    x = 146.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.