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Finding the Fourth Proportional to 115.68, 174.32 and 115.20

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Solution

The fourth proportional to 115.68, 174.32 and 115.20 is: 173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 174.32 = 115.20 : x
  2. Step 2: Convert to fraction form
    115.68/174.32 = 115.20/x
  3. Step 3: Cross multiply
    115.68x = 174.32 × 115.20
  4. Step 4: Simplify right side
    115.68x = 20,081.66
  5. Step 5: Solve for x
    x = 20,081.66/115.68
  6. Step 6: Final answer
    x = 173.60

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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.