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Finding the Fourth Proportional to 220, 328.52 and 179.32

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Solution

The fourth proportional to 220, 328.52 and 179.32 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 328.52 = 179.32 : x
  2. Step 2: Convert to fraction form
    220/328.52 = 179.32/x
  3. Step 3: Cross multiply
    220x = 328.52 × 179.32
  4. Step 4: Simplify right side
    220x = 58,910.21
  5. Step 5: Solve for x
    x = 58,910.21/220
  6. Step 6: Final answer
    x = 267.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.