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Finding the Fourth Proportional to 251.95, 377.85 and 97.96

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Solution

The fourth proportional to 251.95, 377.85 and 97.96 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.95 : 377.85 = 97.96 : x
  2. Step 2: Convert to fraction form
    251.95/377.85 = 97.96/x
  3. Step 3: Cross multiply
    251.95x = 377.85 × 97.96
  4. Step 4: Simplify right side
    251.95x = 37,014.19
  5. Step 5: Solve for x
    x = 37,014.19/251.95
  6. Step 6: Final answer
    x = 146.91

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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.