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Finding the Fourth Proportional to 251.33, 346.84 and 151.75

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Solution

The fourth proportional to 251.33, 346.84 and 151.75 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.33 : 346.84 = 151.75 : x
  2. Step 2: Convert to fraction form
    251.33/346.84 = 151.75/x
  3. Step 3: Cross multiply
    251.33x = 346.84 × 151.75
  4. Step 4: Simplify right side
    251.33x = 52,633.02
  5. Step 5: Solve for x
    x = 52,633.02/251.33
  6. Step 6: Final answer
    x = 209.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.