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Finding the Fourth Proportional to 179.41, 247.57 and 100.72

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Solution

The fourth proportional to 179.41, 247.57 and 100.72 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.41 : 247.57 = 100.72 : x
  2. Step 2: Convert to fraction form
    179.41/247.57 = 100.72/x
  3. Step 3: Cross multiply
    179.41x = 247.57 × 100.72
  4. Step 4: Simplify right side
    179.41x = 24,935.25
  5. Step 5: Solve for x
    x = 24,935.25/179.41
  6. Step 6: Final answer
    x = 138.98

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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.