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Finding the Fourth Proportional to 139.76, 210.57 and 115.90

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Solution

The fourth proportional to 139.76, 210.57 and 115.90 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.76 : 210.57 = 115.90 : x
  2. Step 2: Convert to fraction form
    139.76/210.57 = 115.90/x
  3. Step 3: Cross multiply
    139.76x = 210.57 × 115.90
  4. Step 4: Simplify right side
    139.76x = 24,404.10
  5. Step 5: Solve for x
    x = 24,404.10/139.76
  6. Step 6: Final answer
    x = 174.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.