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Finding the Fourth Proportional to 179.91, 247.95 and 140.58

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Solution

The fourth proportional to 179.91, 247.95 and 140.58 is: 193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 247.95 = 140.58 : x
  2. Step 2: Convert to fraction form
    179.91/247.95 = 140.58/x
  3. Step 3: Cross multiply
    179.91x = 247.95 × 140.58
  4. Step 4: Simplify right side
    179.91x = 34,856.81
  5. Step 5: Solve for x
    x = 34,856.81/179.91
  6. Step 6: Final answer
    x = 193.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.