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Finding the Fourth Proportional to 46.82, 69.70 and 46.18

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Solution

The fourth proportional to 46.82, 69.70 and 46.18 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 69.70 = 46.18 : x
  2. Step 2: Convert to fraction form
    46.82/69.70 = 46.18/x
  3. Step 3: Cross multiply
    46.82x = 69.70 × 46.18
  4. Step 4: Simplify right side
    46.82x = 3,218.40
  5. Step 5: Solve for x
    x = 3,218.40/46.82
  6. Step 6: Final answer
    x = 68.75

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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.