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Finding the Fourth Proportional to 49.21, 67.36 and 47.66

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Solution

The fourth proportional to 49.21, 67.36 and 47.66 is: 65.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.21 : 67.36 = 47.66 : x
  2. Step 2: Convert to fraction form
    49.21/67.36 = 47.66/x
  3. Step 3: Cross multiply
    49.21x = 67.36 × 47.66
  4. Step 4: Simplify right side
    49.21x = 3,209.92
  5. Step 5: Solve for x
    x = 3,209.92/49.21
  6. Step 6: Final answer
    x = 65.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.