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Finding the Fourth Proportional to 46.27, 68.85 and 45.19

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Solution

The fourth proportional to 46.27, 68.85 and 45.19 is: 67.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.27 : 68.85 = 45.19 : x
  2. Step 2: Convert to fraction form
    46.27/68.85 = 45.19/x
  3. Step 3: Cross multiply
    46.27x = 68.85 × 45.19
  4. Step 4: Simplify right side
    46.27x = 3,111.33
  5. Step 5: Solve for x
    x = 3,111.33/46.27
  6. Step 6: Final answer
    x = 67.24

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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.