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Finding the Fourth Proportional to 221.84, 306.12 and 156.56

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Solution

The fourth proportional to 221.84, 306.12 and 156.56 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 306.12 = 156.56 : x
  2. Step 2: Convert to fraction form
    221.84/306.12 = 156.56/x
  3. Step 3: Cross multiply
    221.84x = 306.12 × 156.56
  4. Step 4: Simplify right side
    221.84x = 47,926.15
  5. Step 5: Solve for x
    x = 47,926.15/221.84
  6. Step 6: Final answer
    x = 216.04

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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.