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Finding the Fourth Proportional to 151.17, 208.51 and 116.21

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Solution

The fourth proportional to 151.17, 208.51 and 116.21 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 208.51 = 116.21 : x
  2. Step 2: Convert to fraction form
    151.17/208.51 = 116.21/x
  3. Step 3: Cross multiply
    151.17x = 208.51 × 116.21
  4. Step 4: Simplify right side
    151.17x = 24,230.95
  5. Step 5: Solve for x
    x = 24,230.95/151.17
  6. Step 6: Final answer
    x = 160.29

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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.