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Finding the Fourth Proportional to 60.22, 83.13 and 39.56

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Solution

The fourth proportional to 60.22, 83.13 and 39.56 is: 54.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 83.13 = 39.56 : x
  2. Step 2: Convert to fraction form
    60.22/83.13 = 39.56/x
  3. Step 3: Cross multiply
    60.22x = 83.13 × 39.56
  4. Step 4: Simplify right side
    60.22x = 3,288.06
  5. Step 5: Solve for x
    x = 3,288.06/60.22
  6. Step 6: Final answer
    x = 54.60

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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.