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Finding the Fourth Proportional to 424.50, 585.90 and 269.34

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Solution

The fourth proportional to 424.50, 585.90 and 269.34 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.50 : 585.90 = 269.34 : x
  2. Step 2: Convert to fraction form
    424.50/585.90 = 269.34/x
  3. Step 3: Cross multiply
    424.50x = 585.90 × 269.34
  4. Step 4: Simplify right side
    424.50x = 157,806.31
  5. Step 5: Solve for x
    x = 157,806.31/424.50
  6. Step 6: Final answer
    x = 371.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.