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Finding the Fourth Proportional to 249.62, 374.19 and 78.50

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Solution

The fourth proportional to 249.62, 374.19 and 78.50 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 374.19 = 78.50 : x
  2. Step 2: Convert to fraction form
    249.62/374.19 = 78.50/x
  3. Step 3: Cross multiply
    249.62x = 374.19 × 78.50
  4. Step 4: Simplify right side
    249.62x = 29,373.92
  5. Step 5: Solve for x
    x = 29,373.92/249.62
  6. Step 6: Final answer
    x = 117.67

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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.