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Finding the Fourth Proportional to 117.20, 174.58 and 115.61

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Solution

The fourth proportional to 117.20, 174.58 and 115.61 is: 172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.20 : 174.58 = 115.61 : x
  2. Step 2: Convert to fraction form
    117.20/174.58 = 115.61/x
  3. Step 3: Cross multiply
    117.20x = 174.58 × 115.61
  4. Step 4: Simplify right side
    117.20x = 20,182.03
  5. Step 5: Solve for x
    x = 20,182.03/117.20
  6. Step 6: Final answer
    x = 172.20

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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.