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Finding the Fourth Proportional to 151, 208.17 and 118.20

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Solution

The fourth proportional to 151, 208.17 and 118.20 is: 162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 208.17 = 118.20 : x
  2. Step 2: Convert to fraction form
    151/208.17 = 118.20/x
  3. Step 3: Cross multiply
    151x = 208.17 × 118.20
  4. Step 4: Simplify right side
    151x = 24,605.69
  5. Step 5: Solve for x
    x = 24,605.69/151
  6. Step 6: Final answer
    x = 162.95

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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.