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Finding the Fourth Proportional to 185.46, 279.48 and 158.76

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Solution

The fourth proportional to 185.46, 279.48 and 158.76 is: 239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 279.48 = 158.76 : x
  2. Step 2: Convert to fraction form
    185.46/279.48 = 158.76/x
  3. Step 3: Cross multiply
    185.46x = 279.48 × 158.76
  4. Step 4: Simplify right side
    185.46x = 44,370.24
  5. Step 5: Solve for x
    x = 44,370.24/185.46
  6. Step 6: Final answer
    x = 239.24

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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.