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Finding the Fourth Proportional to 461.51, 691.74 and 229.91

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Solution

The fourth proportional to 461.51, 691.74 and 229.91 is: 344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.51 : 691.74 = 229.91 : x
  2. Step 2: Convert to fraction form
    461.51/691.74 = 229.91/x
  3. Step 3: Cross multiply
    461.51x = 691.74 × 229.91
  4. Step 4: Simplify right side
    461.51x = 159,034.48
  5. Step 5: Solve for x
    x = 159,034.48/461.51
  6. Step 6: Final answer
    x = 344.60

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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.