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Finding the Fourth Proportional to 461.03, 691.07 and 296.43

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Solution

The fourth proportional to 461.03, 691.07 and 296.43 is: 444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.03 : 691.07 = 296.43 : x
  2. Step 2: Convert to fraction form
    461.03/691.07 = 296.43/x
  3. Step 3: Cross multiply
    461.03x = 691.07 × 296.43
  4. Step 4: Simplify right side
    461.03x = 204,849.81
  5. Step 5: Solve for x
    x = 204,849.81/461.03
  6. Step 6: Final answer
    x = 444.34

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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.