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Finding the Fourth Proportional to 178.56, 268.32 and 146.88

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Solution

The fourth proportional to 178.56, 268.32 and 146.88 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 268.32 = 146.88 : x
  2. Step 2: Convert to fraction form
    178.56/268.32 = 146.88/x
  3. Step 3: Cross multiply
    178.56x = 268.32 × 146.88
  4. Step 4: Simplify right side
    178.56x = 39,410.84
  5. Step 5: Solve for x
    x = 39,410.84/178.56
  6. Step 6: Final answer
    x = 220.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.