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Finding the Fourth Proportional to 174.84, 261.72 and 138.84

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Solution

The fourth proportional to 174.84, 261.72 and 138.84 is: 207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 261.72 = 138.84 : x
  2. Step 2: Convert to fraction form
    174.84/261.72 = 138.84/x
  3. Step 3: Cross multiply
    174.84x = 261.72 × 138.84
  4. Step 4: Simplify right side
    174.84x = 36,337.20
  5. Step 5: Solve for x
    x = 36,337.20/174.84
  6. Step 6: Final answer
    x = 207.83

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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.