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Finding the Fourth Proportional to 116.80, 175.10 and 76.45

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Solution

The fourth proportional to 116.80, 175.10 and 76.45 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 175.10 = 76.45 : x
  2. Step 2: Convert to fraction form
    116.80/175.10 = 76.45/x
  3. Step 3: Cross multiply
    116.80x = 175.10 × 76.45
  4. Step 4: Simplify right side
    116.80x = 13,386.40
  5. Step 5: Solve for x
    x = 13,386.40/116.80
  6. Step 6: Final answer
    x = 114.61

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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.