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Finding the Fourth Proportional to 46.46, 69.31 and 45.27

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Solution

The fourth proportional to 46.46, 69.31 and 45.27 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.46 : 69.31 = 45.27 : x
  2. Step 2: Convert to fraction form
    46.46/69.31 = 45.27/x
  3. Step 3: Cross multiply
    46.46x = 69.31 × 45.27
  4. Step 4: Simplify right side
    46.46x = 3,137.66
  5. Step 5: Solve for x
    x = 3,137.66/46.46
  6. Step 6: Final answer
    x = 67.53

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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.