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Finding the Fourth Proportional to 269.10, 402.98 and 215.10

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Solution

The fourth proportional to 269.10, 402.98 and 215.10 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 402.98 = 215.10 : x
  2. Step 2: Convert to fraction form
    269.10/402.98 = 215.10/x
  3. Step 3: Cross multiply
    269.10x = 402.98 × 215.10
  4. Step 4: Simplify right side
    269.10x = 86,679.92
  5. Step 5: Solve for x
    x = 86,679.92/269.10
  6. Step 6: Final answer
    x = 322.11

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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.