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Finding the Fourth Proportional to 465.32, 642.06 and 268.80

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Solution

The fourth proportional to 465.32, 642.06 and 268.80 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 642.06 = 268.80 : x
  2. Step 2: Convert to fraction form
    465.32/642.06 = 268.80/x
  3. Step 3: Cross multiply
    465.32x = 642.06 × 268.80
  4. Step 4: Simplify right side
    465.32x = 172,585.73
  5. Step 5: Solve for x
    x = 172,585.73/465.32
  6. Step 6: Final answer
    x = 370.90

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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.