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Finding the Fourth Proportional to 424.89, 638.15 and 242.64

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Solution

The fourth proportional to 424.89, 638.15 and 242.64 is: 364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 638.15 = 242.64 : x
  2. Step 2: Convert to fraction form
    424.89/638.15 = 242.64/x
  3. Step 3: Cross multiply
    424.89x = 638.15 × 242.64
  4. Step 4: Simplify right side
    424.89x = 154,839.50
  5. Step 5: Solve for x
    x = 154,839.50/424.89
  6. Step 6: Final answer
    x = 364.42

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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.