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Finding the Fourth Proportional to 178.67, 268.07 and 141.86

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Solution

The fourth proportional to 178.67, 268.07 and 141.86 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.67 : 268.07 = 141.86 : x
  2. Step 2: Convert to fraction form
    178.67/268.07 = 141.86/x
  3. Step 3: Cross multiply
    178.67x = 268.07 × 141.86
  4. Step 4: Simplify right side
    178.67x = 38,026.36
  5. Step 5: Solve for x
    x = 38,026.36/178.67
  6. Step 6: Final answer
    x = 212.84

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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.