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Finding the Fourth Proportional to 228.61, 343.12 and 91.72

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Solution

The fourth proportional to 228.61, 343.12 and 91.72 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.61 : 343.12 = 91.72 : x
  2. Step 2: Convert to fraction form
    228.61/343.12 = 91.72/x
  3. Step 3: Cross multiply
    228.61x = 343.12 × 91.72
  4. Step 4: Simplify right side
    228.61x = 31,470.97
  5. Step 5: Solve for x
    x = 31,470.97/228.61
  6. Step 6: Final answer
    x = 137.66

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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.