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Finding the Fourth Proportional to 115.84, 174.12 and 104.14

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Solution

The fourth proportional to 115.84, 174.12 and 104.14 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 174.12 = 104.14 : x
  2. Step 2: Convert to fraction form
    115.84/174.12 = 104.14/x
  3. Step 3: Cross multiply
    115.84x = 174.12 × 104.14
  4. Step 4: Simplify right side
    115.84x = 18,132.86
  5. Step 5: Solve for x
    x = 18,132.86/115.84
  6. Step 6: Final answer
    x = 156.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.