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Finding the Fourth Proportional to 442.26, 661.95 and 326.65

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Solution

The fourth proportional to 442.26, 661.95 and 326.65 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 661.95 = 326.65 : x
  2. Step 2: Convert to fraction form
    442.26/661.95 = 326.65/x
  3. Step 3: Cross multiply
    442.26x = 661.95 × 326.65
  4. Step 4: Simplify right side
    442.26x = 216,225.97
  5. Step 5: Solve for x
    x = 216,225.97/442.26
  6. Step 6: Final answer
    x = 488.91

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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.