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Finding the Fourth Proportional to 424.46, 636.93 and 229.46

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Solution

The fourth proportional to 424.46, 636.93 and 229.46 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 636.93 = 229.46 : x
  2. Step 2: Convert to fraction form
    424.46/636.93 = 229.46/x
  3. Step 3: Cross multiply
    424.46x = 636.93 × 229.46
  4. Step 4: Simplify right side
    424.46x = 146,151.55
  5. Step 5: Solve for x
    x = 146,151.55/424.46
  6. Step 6: Final answer
    x = 344.32

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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.