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Finding the Fourth Proportional to 169.97, 253.76 and 139.59

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Solution

The fourth proportional to 169.97, 253.76 and 139.59 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.97 : 253.76 = 139.59 : x
  2. Step 2: Convert to fraction form
    169.97/253.76 = 139.59/x
  3. Step 3: Cross multiply
    169.97x = 253.76 × 139.59
  4. Step 4: Simplify right side
    169.97x = 35,421.66
  5. Step 5: Solve for x
    x = 35,421.66/169.97
  6. Step 6: Final answer
    x = 208.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.