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Finding the Fourth Proportional to 117.26, 174.55 and 115.53

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Solution

The fourth proportional to 117.26, 174.55 and 115.53 is: 171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.26 : 174.55 = 115.53 : x
  2. Step 2: Convert to fraction form
    117.26/174.55 = 115.53/x
  3. Step 3: Cross multiply
    117.26x = 174.55 × 115.53
  4. Step 4: Simplify right side
    117.26x = 20,164.31
  5. Step 5: Solve for x
    x = 20,164.31/117.26
  6. Step 6: Final answer
    x = 171.96

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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.