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Finding the Fourth Proportional to 117.02, 176.43 and 99.20

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Solution

The fourth proportional to 117.02, 176.43 and 99.20 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 176.43 = 99.20 : x
  2. Step 2: Convert to fraction form
    117.02/176.43 = 99.20/x
  3. Step 3: Cross multiply
    117.02x = 176.43 × 99.20
  4. Step 4: Simplify right side
    117.02x = 17,500.97
  5. Step 5: Solve for x
    x = 17,500.97/117.02
  6. Step 6: Final answer
    x = 149.56

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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.