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Finding the Fourth Proportional to 60.32, 82.81 and 56.72

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Solution

The fourth proportional to 60.32, 82.81 and 56.72 is: 77.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.32 : 82.81 = 56.72 : x
  2. Step 2: Convert to fraction form
    60.32/82.81 = 56.72/x
  3. Step 3: Cross multiply
    60.32x = 82.81 × 56.72
  4. Step 4: Simplify right side
    60.32x = 4,696.98
  5. Step 5: Solve for x
    x = 4,696.98/60.32
  6. Step 6: Final answer
    x = 77.87

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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.