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Finding the Fourth Proportional to 59.80, 82.60 and 48.94

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Solution

The fourth proportional to 59.80, 82.60 and 48.94 is: 67.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.80 : 82.60 = 48.94 : x
  2. Step 2: Convert to fraction form
    59.80/82.60 = 48.94/x
  3. Step 3: Cross multiply
    59.80x = 82.60 × 48.94
  4. Step 4: Simplify right side
    59.80x = 4,042.44
  5. Step 5: Solve for x
    x = 4,042.44/59.80
  6. Step 6: Final answer
    x = 67.60

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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.