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Finding the Fourth Proportional to 46.41, 69.96 and 45.80

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Solution

The fourth proportional to 46.41, 69.96 and 45.80 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 69.96 = 45.80 : x
  2. Step 2: Convert to fraction form
    46.41/69.96 = 45.80/x
  3. Step 3: Cross multiply
    46.41x = 69.96 × 45.80
  4. Step 4: Simplify right side
    46.41x = 3,204.25
  5. Step 5: Solve for x
    x = 3,204.25/46.41
  6. Step 6: Final answer
    x = 69.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.