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Finding the Fourth Proportional to 251.70, 377.46 and 80.70

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Solution

The fourth proportional to 251.70, 377.46 and 80.70 is: 121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 377.46 = 80.70 : x
  2. Step 2: Convert to fraction form
    251.70/377.46 = 80.70/x
  3. Step 3: Cross multiply
    251.70x = 377.46 × 80.70
  4. Step 4: Simplify right side
    251.70x = 30,461.02
  5. Step 5: Solve for x
    x = 30,461.02/251.70
  6. Step 6: Final answer
    x = 121.02

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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.