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Finding the Fourth Proportional to 151.11, 208.53 and 106.81

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Solution

The fourth proportional to 151.11, 208.53 and 106.81 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.11 : 208.53 = 106.81 : x
  2. Step 2: Convert to fraction form
    151.11/208.53 = 106.81/x
  3. Step 3: Cross multiply
    151.11x = 208.53 × 106.81
  4. Step 4: Simplify right side
    151.11x = 22,271.78
  5. Step 5: Solve for x
    x = 22,271.78/151.11
  6. Step 6: Final answer
    x = 147.39

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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.