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Finding the Fourth Proportional to 49.89, 74.43 and 43.41

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Solution

The fourth proportional to 49.89, 74.43 and 43.41 is: 64.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.89 : 74.43 = 43.41 : x
  2. Step 2: Convert to fraction form
    49.89/74.43 = 43.41/x
  3. Step 3: Cross multiply
    49.89x = 74.43 × 43.41
  4. Step 4: Simplify right side
    49.89x = 3,231.01
  5. Step 5: Solve for x
    x = 3,231.01/49.89
  6. Step 6: Final answer
    x = 64.76

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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.