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Finding the Fourth Proportional to 116.64, 175.57 and 99.02

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Solution

The fourth proportional to 116.64, 175.57 and 99.02 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 175.57 = 99.02 : x
  2. Step 2: Convert to fraction form
    116.64/175.57 = 99.02/x
  3. Step 3: Cross multiply
    116.64x = 175.57 × 99.02
  4. Step 4: Simplify right side
    116.64x = 17,385.13
  5. Step 5: Solve for x
    x = 17,385.13/116.64
  6. Step 6: Final answer
    x = 149.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.