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Finding the Fourth Proportional to 39.50, 58.98 and 36.82

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Solution

The fourth proportional to 39.50, 58.98 and 36.82 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 58.98 = 36.82 : x
  2. Step 2: Convert to fraction form
    39.50/58.98 = 36.82/x
  3. Step 3: Cross multiply
    39.50x = 58.98 × 36.82
  4. Step 4: Simplify right side
    39.50x = 2,171.64
  5. Step 5: Solve for x
    x = 2,171.64/39.50
  6. Step 6: Final answer
    x = 54.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.