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Finding the Fourth Proportional to 60.19, 83.01 and 40.75

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Solution

The fourth proportional to 60.19, 83.01 and 40.75 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.19 : 83.01 = 40.75 : x
  2. Step 2: Convert to fraction form
    60.19/83.01 = 40.75/x
  3. Step 3: Cross multiply
    60.19x = 83.01 × 40.75
  4. Step 4: Simplify right side
    60.19x = 3,382.66
  5. Step 5: Solve for x
    x = 3,382.66/60.19
  6. Step 6: Final answer
    x = 56.20

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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.