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Finding the Fourth Proportional to 326.24, 488.44 and 253.04

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Solution

The fourth proportional to 326.24, 488.44 and 253.04 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.24 : 488.44 = 253.04 : x
  2. Step 2: Convert to fraction form
    326.24/488.44 = 253.04/x
  3. Step 3: Cross multiply
    326.24x = 488.44 × 253.04
  4. Step 4: Simplify right side
    326.24x = 123,594.86
  5. Step 5: Solve for x
    x = 123,594.86/326.24
  6. Step 6: Final answer
    x = 378.85

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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.