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Finding the Fourth Proportional to 59.46, 81.81 and 57.75

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Solution

The fourth proportional to 59.46, 81.81 and 57.75 is: 79.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.46 : 81.81 = 57.75 : x
  2. Step 2: Convert to fraction form
    59.46/81.81 = 57.75/x
  3. Step 3: Cross multiply
    59.46x = 81.81 × 57.75
  4. Step 4: Simplify right side
    59.46x = 4,724.53
  5. Step 5: Solve for x
    x = 4,724.53/59.46
  6. Step 6: Final answer
    x = 79.46

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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.