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Finding the Fourth Proportional to 424.23, 636.39 and 135.69

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Solution

The fourth proportional to 424.23, 636.39 and 135.69 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 636.39 = 135.69 : x
  2. Step 2: Convert to fraction form
    424.23/636.39 = 135.69/x
  3. Step 3: Cross multiply
    424.23x = 636.39 × 135.69
  4. Step 4: Simplify right side
    424.23x = 86,351.76
  5. Step 5: Solve for x
    x = 86,351.76/424.23
  6. Step 6: Final answer
    x = 203.55

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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.