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Finding the Fourth Proportional to 46.15, 68.90 and 40.75

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Solution

The fourth proportional to 46.15, 68.90 and 40.75 is: 60.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.15 : 68.90 = 40.75 : x
  2. Step 2: Convert to fraction form
    46.15/68.90 = 40.75/x
  3. Step 3: Cross multiply
    46.15x = 68.90 × 40.75
  4. Step 4: Simplify right side
    46.15x = 2,807.68
  5. Step 5: Solve for x
    x = 2,807.68/46.15
  6. Step 6: Final answer
    x = 60.84

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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.