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Finding the Fourth Proportional to 251.80, 376.98 and 148.84

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Solution

The fourth proportional to 251.80, 376.98 and 148.84 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.80 : 376.98 = 148.84 : x
  2. Step 2: Convert to fraction form
    251.80/376.98 = 148.84/x
  3. Step 3: Cross multiply
    251.80x = 376.98 × 148.84
  4. Step 4: Simplify right side
    251.80x = 56,109.70
  5. Step 5: Solve for x
    x = 56,109.70/251.80
  6. Step 6: Final answer
    x = 222.83

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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.