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Finding the Fourth Proportional to 39.78, 59.59 and 38.29

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Solution

The fourth proportional to 39.78, 59.59 and 38.29 is: 57.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.78 : 59.59 = 38.29 : x
  2. Step 2: Convert to fraction form
    39.78/59.59 = 38.29/x
  3. Step 3: Cross multiply
    39.78x = 59.59 × 38.29
  4. Step 4: Simplify right side
    39.78x = 2,281.70
  5. Step 5: Solve for x
    x = 2,281.70/39.78
  6. Step 6: Final answer
    x = 57.36

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