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Finding the Fourth Proportional to 59.42, 82.04 and 54.81

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Solution

The fourth proportional to 59.42, 82.04 and 54.81 is: 75.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.42 : 82.04 = 54.81 : x
  2. Step 2: Convert to fraction form
    59.42/82.04 = 54.81/x
  3. Step 3: Cross multiply
    59.42x = 82.04 × 54.81
  4. Step 4: Simplify right side
    59.42x = 4,496.34
  5. Step 5: Solve for x
    x = 4,496.34/59.42
  6. Step 6: Final answer
    x = 75.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.