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Finding the Fourth Proportional to 46.63, 69.75 and 40.87

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Solution

The fourth proportional to 46.63, 69.75 and 40.87 is: 61.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 69.75 = 40.87 : x
  2. Step 2: Convert to fraction form
    46.63/69.75 = 40.87/x
  3. Step 3: Cross multiply
    46.63x = 69.75 × 40.87
  4. Step 4: Simplify right side
    46.63x = 2,850.68
  5. Step 5: Solve for x
    x = 2,850.68/46.63
  6. Step 6: Final answer
    x = 61.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.