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Finding the Fourth Proportional to 56.23, 83.46 and 55.72

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Solution

The fourth proportional to 56.23, 83.46 and 55.72 is: 82.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.23 : 83.46 = 55.72 : x
  2. Step 2: Convert to fraction form
    56.23/83.46 = 55.72/x
  3. Step 3: Cross multiply
    56.23x = 83.46 × 55.72
  4. Step 4: Simplify right side
    56.23x = 4,650.70
  5. Step 5: Solve for x
    x = 4,650.70/56.23
  6. Step 6: Final answer
    x = 82.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.