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Finding the Fourth Proportional to 461.49, 691.31 and 358.21

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Solution

The fourth proportional to 461.49, 691.31 and 358.21 is: 536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.49 : 691.31 = 358.21 : x
  2. Step 2: Convert to fraction form
    461.49/691.31 = 358.21/x
  3. Step 3: Cross multiply
    461.49x = 691.31 × 358.21
  4. Step 4: Simplify right side
    461.49x = 247,634.16
  5. Step 5: Solve for x
    x = 247,634.16/461.49
  6. Step 6: Final answer
    x = 536.60

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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.