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Finding the Fourth Proportional to 151.23, 208.78 and 118.19

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Solution

The fourth proportional to 151.23, 208.78 and 118.19 is: 163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 208.78 = 118.19 : x
  2. Step 2: Convert to fraction form
    151.23/208.78 = 118.19/x
  3. Step 3: Cross multiply
    151.23x = 208.78 × 118.19
  4. Step 4: Simplify right side
    151.23x = 24,675.93
  5. Step 5: Solve for x
    x = 24,675.93/151.23
  6. Step 6: Final answer
    x = 163.16

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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.