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Finding the Fourth Proportional to 60.20, 83 and 41.78

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Solution

The fourth proportional to 60.20, 83 and 41.78 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.20 : 83 = 41.78 : x
  2. Step 2: Convert to fraction form
    60.20/83 = 41.78/x
  3. Step 3: Cross multiply
    60.20x = 83 × 41.78
  4. Step 4: Simplify right side
    60.20x = 3,467.74
  5. Step 5: Solve for x
    x = 3,467.74/60.20
  6. Step 6: Final answer
    x = 57.60

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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.