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Finding the Fourth Proportional to 57.80, 79.70 and 35.96

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Solution

The fourth proportional to 57.80, 79.70 and 35.96 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 79.70 = 35.96 : x
  2. Step 2: Convert to fraction form
    57.80/79.70 = 35.96/x
  3. Step 3: Cross multiply
    57.80x = 79.70 × 35.96
  4. Step 4: Simplify right side
    57.80x = 2,866.01
  5. Step 5: Solve for x
    x = 2,866.01/57.80
  6. Step 6: Final answer
    x = 49.58

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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.