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Finding the Fourth Proportional to 220.48, 330.52 and 169.04

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Solution

The fourth proportional to 220.48, 330.52 and 169.04 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.48 : 330.52 = 169.04 : x
  2. Step 2: Convert to fraction form
    220.48/330.52 = 169.04/x
  3. Step 3: Cross multiply
    220.48x = 330.52 × 169.04
  4. Step 4: Simplify right side
    220.48x = 55,871.10
  5. Step 5: Solve for x
    x = 55,871.10/220.48
  6. Step 6: Final answer
    x = 253.41

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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.