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Finding the Fourth Proportional to 59.94, 83.16 and 59.31

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Solution

The fourth proportional to 59.94, 83.16 and 59.31 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 83.16 = 59.31 : x
  2. Step 2: Convert to fraction form
    59.94/83.16 = 59.31/x
  3. Step 3: Cross multiply
    59.94x = 83.16 × 59.31
  4. Step 4: Simplify right side
    59.94x = 4,932.22
  5. Step 5: Solve for x
    x = 4,932.22/59.94
  6. Step 6: Final answer
    x = 82.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.