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Finding the Fourth Proportional to 151.85, 226.26 and 135.69

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Solution

The fourth proportional to 151.85, 226.26 and 135.69 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 226.26 = 135.69 : x
  2. Step 2: Convert to fraction form
    151.85/226.26 = 135.69/x
  3. Step 3: Cross multiply
    151.85x = 226.26 × 135.69
  4. Step 4: Simplify right side
    151.85x = 30,701.22
  5. Step 5: Solve for x
    x = 30,701.22/151.85
  6. Step 6: Final answer
    x = 202.18

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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.