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Finding the Fourth Proportional to 219.52, 302.96 and 132.20

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Solution

The fourth proportional to 219.52, 302.96 and 132.20 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 302.96 = 132.20 : x
  2. Step 2: Convert to fraction form
    219.52/302.96 = 132.20/x
  3. Step 3: Cross multiply
    219.52x = 302.96 × 132.20
  4. Step 4: Simplify right side
    219.52x = 40,051.31
  5. Step 5: Solve for x
    x = 40,051.31/219.52
  6. Step 6: Final answer
    x = 182.45

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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.