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Finding the Fourth Proportional to 240.75, 361 and 78.39

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Solution

The fourth proportional to 240.75, 361 and 78.39 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 361 = 78.39 : x
  2. Step 2: Convert to fraction form
    240.75/361 = 78.39/x
  3. Step 3: Cross multiply
    240.75x = 361 × 78.39
  4. Step 4: Simplify right side
    240.75x = 28,298.79
  5. Step 5: Solve for x
    x = 28,298.79/240.75
  6. Step 6: Final answer
    x = 117.54

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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.