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Finding the Fourth Proportional to 49.46, 73.77 and 46.49

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Solution

The fourth proportional to 49.46, 73.77 and 46.49 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.46 : 73.77 = 46.49 : x
  2. Step 2: Convert to fraction form
    49.46/73.77 = 46.49/x
  3. Step 3: Cross multiply
    49.46x = 73.77 × 46.49
  4. Step 4: Simplify right side
    49.46x = 3,429.02
  5. Step 5: Solve for x
    x = 3,429.02/49.46
  6. Step 6: Final answer
    x = 69.34

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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.