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Finding the Fourth Proportional to 59.97, 89.92 and 19.38

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Solution

The fourth proportional to 59.97, 89.92 and 19.38 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.97 : 89.92 = 19.38 : x
  2. Step 2: Convert to fraction form
    59.97/89.92 = 19.38/x
  3. Step 3: Cross multiply
    59.97x = 89.92 × 19.38
  4. Step 4: Simplify right side
    59.97x = 1,742.65
  5. Step 5: Solve for x
    x = 1,742.65/59.97
  6. Step 6: Final answer
    x = 29.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.