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Finding the Fourth Proportional to 178.46, 246.26 and 99.76

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Solution

The fourth proportional to 178.46, 246.26 and 99.76 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 246.26 = 99.76 : x
  2. Step 2: Convert to fraction form
    178.46/246.26 = 99.76/x
  3. Step 3: Cross multiply
    178.46x = 246.26 × 99.76
  4. Step 4: Simplify right side
    178.46x = 24,566.90
  5. Step 5: Solve for x
    x = 24,566.90/178.46
  6. Step 6: Final answer
    x = 137.66

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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.