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Finding the Fourth Proportional to 251.41, 346.90 and 151.80

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Solution

The fourth proportional to 251.41, 346.90 and 151.80 is: 209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 346.90 = 151.80 : x
  2. Step 2: Convert to fraction form
    251.41/346.90 = 151.80/x
  3. Step 3: Cross multiply
    251.41x = 346.90 × 151.80
  4. Step 4: Simplify right side
    251.41x = 52,659.32
  5. Step 5: Solve for x
    x = 52,659.32/251.41
  6. Step 6: Final answer
    x = 209.46

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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.