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Finding the Fourth Proportional to 151.74, 226.09 and 135.57

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Solution

The fourth proportional to 151.74, 226.09 and 135.57 is: 202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 226.09 = 135.57 : x
  2. Step 2: Convert to fraction form
    151.74/226.09 = 135.57/x
  3. Step 3: Cross multiply
    151.74x = 226.09 × 135.57
  4. Step 4: Simplify right side
    151.74x = 30,651.02
  5. Step 5: Solve for x
    x = 30,651.02/151.74
  6. Step 6: Final answer
    x = 202.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.