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Finding the Fourth Proportional to 174.79, 239.78 and 158.86

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Solution

The fourth proportional to 174.79, 239.78 and 158.86 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.79 : 239.78 = 158.86 : x
  2. Step 2: Convert to fraction form
    174.79/239.78 = 158.86/x
  3. Step 3: Cross multiply
    174.79x = 239.78 × 158.86
  4. Step 4: Simplify right side
    174.79x = 38,091.45
  5. Step 5: Solve for x
    x = 38,091.45/174.79
  6. Step 6: Final answer
    x = 217.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.