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Finding the Fourth Proportional to 221.03, 304.81 and 132.50

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Solution

The fourth proportional to 221.03, 304.81 and 132.50 is: 182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.03 : 304.81 = 132.50 : x
  2. Step 2: Convert to fraction form
    221.03/304.81 = 132.50/x
  3. Step 3: Cross multiply
    221.03x = 304.81 × 132.50
  4. Step 4: Simplify right side
    221.03x = 40,385.80
  5. Step 5: Solve for x
    x = 40,385.80/221.03
  6. Step 6: Final answer
    x = 182.72

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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.