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Finding the Fourth Proportional to 424.66, 636.90 and 268.40

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Solution

The fourth proportional to 424.66, 636.90 and 268.40 is: 402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 636.90 = 268.40 : x
  2. Step 2: Convert to fraction form
    424.66/636.90 = 268.40/x
  3. Step 3: Cross multiply
    424.66x = 636.90 × 268.40
  4. Step 4: Simplify right side
    424.66x = 170,943.96
  5. Step 5: Solve for x
    x = 170,943.96/424.66
  6. Step 6: Final answer
    x = 402.54

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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.