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Finding the Fourth Proportional to 117.25, 174.96 and 115.02

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Solution

The fourth proportional to 117.25, 174.96 and 115.02 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 174.96 = 115.02 : x
  2. Step 2: Convert to fraction form
    117.25/174.96 = 115.02/x
  3. Step 3: Cross multiply
    117.25x = 174.96 × 115.02
  4. Step 4: Simplify right side
    117.25x = 20,123.90
  5. Step 5: Solve for x
    x = 20,123.90/117.25
  6. Step 6: Final answer
    x = 171.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.