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Finding the Fourth Proportional to 151.60, 208.74 and 118.84

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Solution

The fourth proportional to 151.60, 208.74 and 118.84 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.60 : 208.74 = 118.84 : x
  2. Step 2: Convert to fraction form
    151.60/208.74 = 118.84/x
  3. Step 3: Cross multiply
    151.60x = 208.74 × 118.84
  4. Step 4: Simplify right side
    151.60x = 24,806.66
  5. Step 5: Solve for x
    x = 24,806.66/151.60
  6. Step 6: Final answer
    x = 163.63

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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.