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Finding the Fourth Proportional to 46.12, 68.86 and 41.04

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Solution

The fourth proportional to 46.12, 68.86 and 41.04 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.12 : 68.86 = 41.04 : x
  2. Step 2: Convert to fraction form
    46.12/68.86 = 41.04/x
  3. Step 3: Cross multiply
    46.12x = 68.86 × 41.04
  4. Step 4: Simplify right side
    46.12x = 2,826.01
  5. Step 5: Solve for x
    x = 2,826.01/46.12
  6. Step 6: Final answer
    x = 61.28

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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.