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Finding the Fourth Proportional to 57.90, 79.89 and 35.78

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Solution

The fourth proportional to 57.90, 79.89 and 35.78 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.90 : 79.89 = 35.78 : x
  2. Step 2: Convert to fraction form
    57.90/79.89 = 35.78/x
  3. Step 3: Cross multiply
    57.90x = 79.89 × 35.78
  4. Step 4: Simplify right side
    57.90x = 2,858.46
  5. Step 5: Solve for x
    x = 2,858.46/57.90
  6. Step 6: Final answer
    x = 49.37

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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.