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Finding the Fourth Proportional to 57.55, 79.42 and 32.99

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Solution

The fourth proportional to 57.55, 79.42 and 32.99 is: 45.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 79.42 = 32.99 : x
  2. Step 2: Convert to fraction form
    57.55/79.42 = 32.99/x
  3. Step 3: Cross multiply
    57.55x = 79.42 × 32.99
  4. Step 4: Simplify right side
    57.55x = 2,620.07
  5. Step 5: Solve for x
    x = 2,620.07/57.55
  6. Step 6: Final answer
    x = 45.53

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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.