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Finding the Fourth Proportional to 222.28, 306.80 and 152.46

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Solution

The fourth proportional to 222.28, 306.80 and 152.46 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 306.80 = 152.46 : x
  2. Step 2: Convert to fraction form
    222.28/306.80 = 152.46/x
  3. Step 3: Cross multiply
    222.28x = 306.80 × 152.46
  4. Step 4: Simplify right side
    222.28x = 46,774.73
  5. Step 5: Solve for x
    x = 46,774.73/222.28
  6. Step 6: Final answer
    x = 210.43

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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.