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Finding the Fourth Proportional to 230.49, 345.75 and 84.21

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Solution

The fourth proportional to 230.49, 345.75 and 84.21 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 345.75 = 84.21 : x
  2. Step 2: Convert to fraction form
    230.49/345.75 = 84.21/x
  3. Step 3: Cross multiply
    230.49x = 345.75 × 84.21
  4. Step 4: Simplify right side
    230.49x = 29,115.61
  5. Step 5: Solve for x
    x = 29,115.61/230.49
  6. Step 6: Final answer
    x = 126.32

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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.