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Finding the Fourth Proportional to 461.20, 691.87 and 230.09

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Solution

The fourth proportional to 461.20, 691.87 and 230.09 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 691.87 = 230.09 : x
  2. Step 2: Convert to fraction form
    461.20/691.87 = 230.09/x
  3. Step 3: Cross multiply
    461.20x = 691.87 × 230.09
  4. Step 4: Simplify right side
    461.20x = 159,192.37
  5. Step 5: Solve for x
    x = 159,192.37/461.20
  6. Step 6: Final answer
    x = 345.17

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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.