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Finding the Fourth Proportional to 151.08, 208.68 and 111.79

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Solution

The fourth proportional to 151.08, 208.68 and 111.79 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.08 : 208.68 = 111.79 : x
  2. Step 2: Convert to fraction form
    151.08/208.68 = 111.79/x
  3. Step 3: Cross multiply
    151.08x = 208.68 × 111.79
  4. Step 4: Simplify right side
    151.08x = 23,328.18
  5. Step 5: Solve for x
    x = 23,328.18/151.08
  6. Step 6: Final answer
    x = 154.41

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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.