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Finding the Fourth Proportional to 60.05, 82.35 and 57.80

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Solution

The fourth proportional to 60.05, 82.35 and 57.80 is: 79.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.05 : 82.35 = 57.80 : x
  2. Step 2: Convert to fraction form
    60.05/82.35 = 57.80/x
  3. Step 3: Cross multiply
    60.05x = 82.35 × 57.80
  4. Step 4: Simplify right side
    60.05x = 4,759.83
  5. Step 5: Solve for x
    x = 4,759.83/60.05
  6. Step 6: Final answer
    x = 79.26

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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.