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Finding the Fourth Proportional to 306.75, 461.68 and 230.13

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Solution

The fourth proportional to 306.75, 461.68 and 230.13 is: 346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 461.68 = 230.13 : x
  2. Step 2: Convert to fraction form
    306.75/461.68 = 230.13/x
  3. Step 3: Cross multiply
    306.75x = 461.68 × 230.13
  4. Step 4: Simplify right side
    306.75x = 106,246.42
  5. Step 5: Solve for x
    x = 106,246.42/306.75
  6. Step 6: Final answer
    x = 346.36

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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.