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Finding the Fourth Proportional to 46.90, 69.87 and 45.48

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Solution

The fourth proportional to 46.90, 69.87 and 45.48 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.90 : 69.87 = 45.48 : x
  2. Step 2: Convert to fraction form
    46.90/69.87 = 45.48/x
  3. Step 3: Cross multiply
    46.90x = 69.87 × 45.48
  4. Step 4: Simplify right side
    46.90x = 3,177.69
  5. Step 5: Solve for x
    x = 3,177.69/46.90
  6. Step 6: Final answer
    x = 67.75

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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.