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Finding the Fourth Proportional to 251.61, 375.74 and 196.89

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Solution

The fourth proportional to 251.61, 375.74 and 196.89 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.61 : 375.74 = 196.89 : x
  2. Step 2: Convert to fraction form
    251.61/375.74 = 196.89/x
  3. Step 3: Cross multiply
    251.61x = 375.74 × 196.89
  4. Step 4: Simplify right side
    251.61x = 73,978.46
  5. Step 5: Solve for x
    x = 73,978.46/251.61
  6. Step 6: Final answer
    x = 294.02

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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.