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Finding the Fourth Proportional to 465.38, 642.30 and 268.85

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Solution

The fourth proportional to 465.38, 642.30 and 268.85 is: 371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 642.30 = 268.85 : x
  2. Step 2: Convert to fraction form
    465.38/642.30 = 268.85/x
  3. Step 3: Cross multiply
    465.38x = 642.30 × 268.85
  4. Step 4: Simplify right side
    465.38x = 172,679.14
  5. Step 5: Solve for x
    x = 172,679.14/465.38
  6. Step 6: Final answer
    x = 371.05

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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.