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Finding the Fourth Proportional to 221.40, 303.84 and 203.04

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Solution

The fourth proportional to 221.40, 303.84 and 203.04 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.40 : 303.84 = 203.04 : x
  2. Step 2: Convert to fraction form
    221.40/303.84 = 203.04/x
  3. Step 3: Cross multiply
    221.40x = 303.84 × 203.04
  4. Step 4: Simplify right side
    221.40x = 61,691.67
  5. Step 5: Solve for x
    x = 61,691.67/221.40
  6. Step 6: Final answer
    x = 278.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.