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Finding the Fourth Proportional to 57.33, 85.66 and 46.37

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Solution

The fourth proportional to 57.33, 85.66 and 46.37 is: 69.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.33 : 85.66 = 46.37 : x
  2. Step 2: Convert to fraction form
    57.33/85.66 = 46.37/x
  3. Step 3: Cross multiply
    57.33x = 85.66 × 46.37
  4. Step 4: Simplify right side
    57.33x = 3,972.05
  5. Step 5: Solve for x
    x = 3,972.05/57.33
  6. Step 6: Final answer
    x = 69.28

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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.