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Finding the Fourth Proportional to 59.78, 82.34 and 50.54

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Solution

The fourth proportional to 59.78, 82.34 and 50.54 is: 69.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 82.34 = 50.54 : x
  2. Step 2: Convert to fraction form
    59.78/82.34 = 50.54/x
  3. Step 3: Cross multiply
    59.78x = 82.34 × 50.54
  4. Step 4: Simplify right side
    59.78x = 4,161.46
  5. Step 5: Solve for x
    x = 4,161.46/59.78
  6. Step 6: Final answer
    x = 69.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.