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Finding the Fourth Proportional to 250.98, 375.66 and 189.69

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Solution

The fourth proportional to 250.98, 375.66 and 189.69 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.98 : 375.66 = 189.69 : x
  2. Step 2: Convert to fraction form
    250.98/375.66 = 189.69/x
  3. Step 3: Cross multiply
    250.98x = 375.66 × 189.69
  4. Step 4: Simplify right side
    250.98x = 71,258.95
  5. Step 5: Solve for x
    x = 71,258.95/250.98
  6. Step 6: Final answer
    x = 283.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.