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Finding the Fourth Proportional to 76.65, 105.80 and 60.27

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Solution

The fourth proportional to 76.65, 105.80 and 60.27 is: 83.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 105.80 = 60.27 : x
  2. Step 2: Convert to fraction form
    76.65/105.80 = 60.27/x
  3. Step 3: Cross multiply
    76.65x = 105.80 × 60.27
  4. Step 4: Simplify right side
    76.65x = 6,376.26
  5. Step 5: Solve for x
    x = 6,376.26/76.65
  6. Step 6: Final answer
    x = 83.19

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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.