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Finding the Fourth Proportional to 151.74, 208.46 and 149.34

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Solution

The fourth proportional to 151.74, 208.46 and 149.34 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 208.46 = 149.34 : x
  2. Step 2: Convert to fraction form
    151.74/208.46 = 149.34/x
  3. Step 3: Cross multiply
    151.74x = 208.46 × 149.34
  4. Step 4: Simplify right side
    151.74x = 31,130.67
  5. Step 5: Solve for x
    x = 31,130.67/151.74
  6. Step 6: Final answer
    x = 205.16

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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.