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Finding the Fourth Proportional to 151.16, 208.50 and 118.52

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Solution

The fourth proportional to 151.16, 208.50 and 118.52 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 208.50 = 118.52 : x
  2. Step 2: Convert to fraction form
    151.16/208.50 = 118.52/x
  3. Step 3: Cross multiply
    151.16x = 208.50 × 118.52
  4. Step 4: Simplify right side
    151.16x = 24,711.42
  5. Step 5: Solve for x
    x = 24,711.42/151.16
  6. Step 6: Final answer
    x = 163.48

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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.