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Finding the Fourth Proportional to 222.18, 306.33 and 156.57

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Solution

The fourth proportional to 222.18, 306.33 and 156.57 is: 215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.18 : 306.33 = 156.57 : x
  2. Step 2: Convert to fraction form
    222.18/306.33 = 156.57/x
  3. Step 3: Cross multiply
    222.18x = 306.33 × 156.57
  4. Step 4: Simplify right side
    222.18x = 47,961.23
  5. Step 5: Solve for x
    x = 47,961.23/222.18
  6. Step 6: Final answer
    x = 215.87

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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.