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Finding the Fourth Proportional to 221.53, 303.92 and 216.13

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Solution

The fourth proportional to 221.53, 303.92 and 216.13 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.53 : 303.92 = 216.13 : x
  2. Step 2: Convert to fraction form
    221.53/303.92 = 216.13/x
  3. Step 3: Cross multiply
    221.53x = 303.92 × 216.13
  4. Step 4: Simplify right side
    221.53x = 65,686.23
  5. Step 5: Solve for x
    x = 65,686.23/221.53
  6. Step 6: Final answer
    x = 296.51

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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.