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Finding the Fourth Proportional to 318.90, 440.08 and 179.02

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Solution

The fourth proportional to 318.90, 440.08 and 179.02 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.90 : 440.08 = 179.02 : x
  2. Step 2: Convert to fraction form
    318.90/440.08 = 179.02/x
  3. Step 3: Cross multiply
    318.90x = 440.08 × 179.02
  4. Step 4: Simplify right side
    318.90x = 78,783.57
  5. Step 5: Solve for x
    x = 78,783.57/318.90
  6. Step 6: Final answer
    x = 247.05

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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.