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Finding the Fourth Proportional to 167.84, 252.12 and 127.52

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Solution

The fourth proportional to 167.84, 252.12 and 127.52 is: 191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 252.12 = 127.52 : x
  2. Step 2: Convert to fraction form
    167.84/252.12 = 127.52/x
  3. Step 3: Cross multiply
    167.84x = 252.12 × 127.52
  4. Step 4: Simplify right side
    167.84x = 32,150.34
  5. Step 5: Solve for x
    x = 32,150.34/167.84
  6. Step 6: Final answer
    x = 191.55

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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.