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Finding the Fourth Proportional to 56, 83.44 and 54.16

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Solution

The fourth proportional to 56, 83.44 and 54.16 is: 80.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 83.44 = 54.16 : x
  2. Step 2: Convert to fraction form
    56/83.44 = 54.16/x
  3. Step 3: Cross multiply
    56x = 83.44 × 54.16
  4. Step 4: Simplify right side
    56x = 4,519.11
  5. Step 5: Solve for x
    x = 4,519.11/56
  6. Step 6: Final answer
    x = 80.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.