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Finding the Fourth Proportional to 60.19, 83.09 and 57.22

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Solution

The fourth proportional to 60.19, 83.09 and 57.22 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.19 : 83.09 = 57.22 : x
  2. Step 2: Convert to fraction form
    60.19/83.09 = 57.22/x
  3. Step 3: Cross multiply
    60.19x = 83.09 × 57.22
  4. Step 4: Simplify right side
    60.19x = 4,754.41
  5. Step 5: Solve for x
    x = 4,754.41/60.19
  6. Step 6: Final answer
    x = 78.99

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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.