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Finding the Fourth Proportional to 221.64, 307.50 and 213.72

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Solution

The fourth proportional to 221.64, 307.50 and 213.72 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 307.50 = 213.72 : x
  2. Step 2: Convert to fraction form
    221.64/307.50 = 213.72/x
  3. Step 3: Cross multiply
    221.64x = 307.50 × 213.72
  4. Step 4: Simplify right side
    221.64x = 65,718.90
  5. Step 5: Solve for x
    x = 65,718.90/221.64
  6. Step 6: Final answer
    x = 296.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.