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Finding the Fourth Proportional to 151.85, 228.68 and 133.80

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Solution

The fourth proportional to 151.85, 228.68 and 133.80 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 228.68 = 133.80 : x
  2. Step 2: Convert to fraction form
    151.85/228.68 = 133.80/x
  3. Step 3: Cross multiply
    151.85x = 228.68 × 133.80
  4. Step 4: Simplify right side
    151.85x = 30,596.36
  5. Step 5: Solve for x
    x = 30,596.36/151.85
  6. Step 6: Final answer
    x = 201.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.