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Finding the Fourth Proportional to 57.23, 79.12 and 53.79

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Solution

The fourth proportional to 57.23, 79.12 and 53.79 is: 74.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.23 : 79.12 = 53.79 : x
  2. Step 2: Convert to fraction form
    57.23/79.12 = 53.79/x
  3. Step 3: Cross multiply
    57.23x = 79.12 × 53.79
  4. Step 4: Simplify right side
    57.23x = 4,255.86
  5. Step 5: Solve for x
    x = 4,255.86/57.23
  6. Step 6: Final answer
    x = 74.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.