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Finding the Fourth Proportional to 55.23, 83.33 and 54.77

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Solution

The fourth proportional to 55.23, 83.33 and 54.77 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.23 : 83.33 = 54.77 : x
  2. Step 2: Convert to fraction form
    55.23/83.33 = 54.77/x
  3. Step 3: Cross multiply
    55.23x = 83.33 × 54.77
  4. Step 4: Simplify right side
    55.23x = 4,563.71
  5. Step 5: Solve for x
    x = 4,563.71/55.23
  6. Step 6: Final answer
    x = 82.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.