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Finding the Fourth Proportional to 461.47, 691.49 and 290.11

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Solution

The fourth proportional to 461.47, 691.49 and 290.11 is: 434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 691.49 = 290.11 : x
  2. Step 2: Convert to fraction form
    461.47/691.49 = 290.11/x
  3. Step 3: Cross multiply
    461.47x = 691.49 × 290.11
  4. Step 4: Simplify right side
    461.47x = 200,606.71
  5. Step 5: Solve for x
    x = 200,606.71/461.47
  6. Step 6: Final answer
    x = 434.71

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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.