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Finding the Fourth Proportional to 167.57, 230.95 and 134.77

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Solution

The fourth proportional to 167.57, 230.95 and 134.77 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.57 : 230.95 = 134.77 : x
  2. Step 2: Convert to fraction form
    167.57/230.95 = 134.77/x
  3. Step 3: Cross multiply
    167.57x = 230.95 × 134.77
  4. Step 4: Simplify right side
    167.57x = 31,125.13
  5. Step 5: Solve for x
    x = 31,125.13/167.57
  6. Step 6: Final answer
    x = 185.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.