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Finding the Fourth Proportional to 178.24, 268.72 and 146.56

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Solution

The fourth proportional to 178.24, 268.72 and 146.56 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 268.72 = 146.56 : x
  2. Step 2: Convert to fraction form
    178.24/268.72 = 146.56/x
  3. Step 3: Cross multiply
    178.24x = 268.72 × 146.56
  4. Step 4: Simplify right side
    178.24x = 39,383.60
  5. Step 5: Solve for x
    x = 39,383.60/178.24
  6. Step 6: Final answer
    x = 220.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.