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Finding the Fourth Proportional to 57.07, 85.09 and 48.56

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Solution

The fourth proportional to 57.07, 85.09 and 48.56 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 85.09 = 48.56 : x
  2. Step 2: Convert to fraction form
    57.07/85.09 = 48.56/x
  3. Step 3: Cross multiply
    57.07x = 85.09 × 48.56
  4. Step 4: Simplify right side
    57.07x = 4,131.97
  5. Step 5: Solve for x
    x = 4,131.97/57.07
  6. Step 6: Final answer
    x = 72.40

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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.