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Finding the Fourth Proportional to 269.49, 402.04 and 262.05

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Solution

The fourth proportional to 269.49, 402.04 and 262.05 is: 390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.49 : 402.04 = 262.05 : x
  2. Step 2: Convert to fraction form
    269.49/402.04 = 262.05/x
  3. Step 3: Cross multiply
    269.49x = 402.04 × 262.05
  4. Step 4: Simplify right side
    269.49x = 105,354.58
  5. Step 5: Solve for x
    x = 105,354.58/269.49
  6. Step 6: Final answer
    x = 390.94

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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.