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Finding the Fourth Proportional to 468.18, 645.99 and 269.04

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Solution

The fourth proportional to 468.18, 645.99 and 269.04 is: 371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 645.99 = 269.04 : x
  2. Step 2: Convert to fraction form
    468.18/645.99 = 269.04/x
  3. Step 3: Cross multiply
    468.18x = 645.99 × 269.04
  4. Step 4: Simplify right side
    468.18x = 173,794.73
  5. Step 5: Solve for x
    x = 173,794.73/468.18
  6. Step 6: Final answer
    x = 371.21

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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.