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Finding the Fourth Proportional to 55.56, 82.81 and 51.52

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Solution

The fourth proportional to 55.56, 82.81 and 51.52 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 82.81 = 51.52 : x
  2. Step 2: Convert to fraction form
    55.56/82.81 = 51.52/x
  3. Step 3: Cross multiply
    55.56x = 82.81 × 51.52
  4. Step 4: Simplify right side
    55.56x = 4,266.37
  5. Step 5: Solve for x
    x = 4,266.37/55.56
  6. Step 6: Final answer
    x = 76.79

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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.