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Finding the Fourth Proportional to 423.74, 636.68 and 269.74

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Solution

The fourth proportional to 423.74, 636.68 and 269.74 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 636.68 = 269.74 : x
  2. Step 2: Convert to fraction form
    423.74/636.68 = 269.74/x
  3. Step 3: Cross multiply
    423.74x = 636.68 × 269.74
  4. Step 4: Simplify right side
    423.74x = 171,733.53
  5. Step 5: Solve for x
    x = 171,733.53/423.74
  6. Step 6: Final answer
    x = 405.28

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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.