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Finding the Fourth Proportional to 151.86, 208.20 and 149.13

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Solution

The fourth proportional to 151.86, 208.20 and 149.13 is: 204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.86 : 208.20 = 149.13 : x
  2. Step 2: Convert to fraction form
    151.86/208.20 = 149.13/x
  3. Step 3: Cross multiply
    151.86x = 208.20 × 149.13
  4. Step 4: Simplify right side
    151.86x = 31,048.87
  5. Step 5: Solve for x
    x = 31,048.87/151.86
  6. Step 6: Final answer
    x = 204.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.