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Finding the Fourth Proportional to 170.20, 254.88 and 139.84

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Solution

The fourth proportional to 170.20, 254.88 and 139.84 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 254.88 = 139.84 : x
  2. Step 2: Convert to fraction form
    170.20/254.88 = 139.84/x
  3. Step 3: Cross multiply
    170.20x = 254.88 × 139.84
  4. Step 4: Simplify right side
    170.20x = 35,642.42
  5. Step 5: Solve for x
    x = 35,642.42/170.20
  6. Step 6: Final answer
    x = 209.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.