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Finding the Fourth Proportional to 230.44, 345.65 and 127.78

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Solution

The fourth proportional to 230.44, 345.65 and 127.78 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.44 : 345.65 = 127.78 : x
  2. Step 2: Convert to fraction form
    230.44/345.65 = 127.78/x
  3. Step 3: Cross multiply
    230.44x = 345.65 × 127.78
  4. Step 4: Simplify right side
    230.44x = 44,165.43
  5. Step 5: Solve for x
    x = 44,165.43/230.44
  6. Step 6: Final answer
    x = 191.66

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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.