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Finding the Fourth Proportional to 56.78, 84.46 and 55.52

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Solution

The fourth proportional to 56.78, 84.46 and 55.52 is: 82.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.78 : 84.46 = 55.52 : x
  2. Step 2: Convert to fraction form
    56.78/84.46 = 55.52/x
  3. Step 3: Cross multiply
    56.78x = 84.46 × 55.52
  4. Step 4: Simplify right side
    56.78x = 4,689.22
  5. Step 5: Solve for x
    x = 4,689.22/56.78
  6. Step 6: Final answer
    x = 82.59

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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.