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Finding the Fourth Proportional to 60.22, 82.79 and 49.01

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Solution

The fourth proportional to 60.22, 82.79 and 49.01 is: 67.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 82.79 = 49.01 : x
  2. Step 2: Convert to fraction form
    60.22/82.79 = 49.01/x
  3. Step 3: Cross multiply
    60.22x = 82.79 × 49.01
  4. Step 4: Simplify right side
    60.22x = 4,057.87
  5. Step 5: Solve for x
    x = 4,057.87/60.22
  6. Step 6: Final answer
    x = 67.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.