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Finding the Fourth Proportional to 46.18, 68.93 and 40.78

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Solution

The fourth proportional to 46.18, 68.93 and 40.78 is: 60.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.18 : 68.93 = 40.78 : x
  2. Step 2: Convert to fraction form
    46.18/68.93 = 40.78/x
  3. Step 3: Cross multiply
    46.18x = 68.93 × 40.78
  4. Step 4: Simplify right side
    46.18x = 2,810.97
  5. Step 5: Solve for x
    x = 2,810.97/46.18
  6. Step 6: Final answer
    x = 60.87

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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.