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Finding the Fourth Proportional to 230.74, 345.35 and 139.61

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Solution

The fourth proportional to 230.74, 345.35 and 139.61 is: 208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.74 : 345.35 = 139.61 : x
  2. Step 2: Convert to fraction form
    230.74/345.35 = 139.61/x
  3. Step 3: Cross multiply
    230.74x = 345.35 × 139.61
  4. Step 4: Simplify right side
    230.74x = 48,213.62
  5. Step 5: Solve for x
    x = 48,213.62/230.74
  6. Step 6: Final answer
    x = 208.96

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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.