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Finding the Fourth Proportional to 179.46, 247.90 and 144.63

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Solution

The fourth proportional to 179.46, 247.90 and 144.63 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.46 : 247.90 = 144.63 : x
  2. Step 2: Convert to fraction form
    179.46/247.90 = 144.63/x
  3. Step 3: Cross multiply
    179.46x = 247.90 × 144.63
  4. Step 4: Simplify right side
    179.46x = 35,851.81
  5. Step 5: Solve for x
    x = 35,851.81/179.46
  6. Step 6: Final answer
    x = 199.78

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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.