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Finding the Fourth Proportional to 269.83, 402.67 and 248.32

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Solution

The fourth proportional to 269.83, 402.67 and 248.32 is: 370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.83 : 402.67 = 248.32 : x
  2. Step 2: Convert to fraction form
    269.83/402.67 = 248.32/x
  3. Step 3: Cross multiply
    269.83x = 402.67 × 248.32
  4. Step 4: Simplify right side
    269.83x = 99,991.01
  5. Step 5: Solve for x
    x = 99,991.01/269.83
  6. Step 6: Final answer
    x = 370.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.