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Finding the Fourth Proportional to 424.85, 637.61 and 242.33

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Solution

The fourth proportional to 424.85, 637.61 and 242.33 is: 363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.85 : 637.61 = 242.33 : x
  2. Step 2: Convert to fraction form
    424.85/637.61 = 242.33/x
  3. Step 3: Cross multiply
    424.85x = 637.61 × 242.33
  4. Step 4: Simplify right side
    424.85x = 154,507.63
  5. Step 5: Solve for x
    x = 154,507.63/424.85
  6. Step 6: Final answer
    x = 363.68

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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.