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Finding the Fourth Proportional to 165.46, 249.18 and 139.95

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Solution

The fourth proportional to 165.46, 249.18 and 139.95 is: 210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 249.18 = 139.95 : x
  2. Step 2: Convert to fraction form
    165.46/249.18 = 139.95/x
  3. Step 3: Cross multiply
    165.46x = 249.18 × 139.95
  4. Step 4: Simplify right side
    165.46x = 34,872.74
  5. Step 5: Solve for x
    x = 34,872.74/165.46
  6. Step 6: Final answer
    x = 210.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.