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Finding the Fourth Proportional to 42.89, 64 and 38.56

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Solution

The fourth proportional to 42.89, 64 and 38.56 is: 57.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.89 : 64 = 38.56 : x
  2. Step 2: Convert to fraction form
    42.89/64 = 38.56/x
  3. Step 3: Cross multiply
    42.89x = 64 × 38.56
  4. Step 4: Simplify right side
    42.89x = 2,467.84
  5. Step 5: Solve for x
    x = 2,467.84/42.89
  6. Step 6: Final answer
    x = 57.54

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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.