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Finding the Fourth Proportional to 57.09, 85.34 and 55.65

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Solution

The fourth proportional to 57.09, 85.34 and 55.65 is: 83.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.09 : 85.34 = 55.65 : x
  2. Step 2: Convert to fraction form
    57.09/85.34 = 55.65/x
  3. Step 3: Cross multiply
    57.09x = 85.34 × 55.65
  4. Step 4: Simplify right side
    57.09x = 4,749.13
  5. Step 5: Solve for x
    x = 4,749.13/57.09
  6. Step 6: Final answer
    x = 83.19

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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.