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Finding the Fourth Proportional to 56.50, 84.07 and 54.81

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Solution

The fourth proportional to 56.50, 84.07 and 54.81 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 84.07 = 54.81 : x
  2. Step 2: Convert to fraction form
    56.50/84.07 = 54.81/x
  3. Step 3: Cross multiply
    56.50x = 84.07 × 54.81
  4. Step 4: Simplify right side
    56.50x = 4,607.95
  5. Step 5: Solve for x
    x = 4,607.95/56.50
  6. Step 6: Final answer
    x = 81.56

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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.