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Finding the Fourth Proportional to 64.09, 95.61 and 57.26

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Solution

The fourth proportional to 64.09, 95.61 and 57.26 is: 85.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 95.61 = 57.26 : x
  2. Step 2: Convert to fraction form
    64.09/95.61 = 57.26/x
  3. Step 3: Cross multiply
    64.09x = 95.61 × 57.26
  4. Step 4: Simplify right side
    64.09x = 5,474.06
  5. Step 5: Solve for x
    x = 5,474.06/64.09
  6. Step 6: Final answer
    x = 85.41

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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.