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Finding the Fourth Proportional to 41.99, 57.96 and 31.07

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Solution

The fourth proportional to 41.99, 57.96 and 31.07 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.99 : 57.96 = 31.07 : x
  2. Step 2: Convert to fraction form
    41.99/57.96 = 31.07/x
  3. Step 3: Cross multiply
    41.99x = 57.96 × 31.07
  4. Step 4: Simplify right side
    41.99x = 1,800.82
  5. Step 5: Solve for x
    x = 1,800.82/41.99
  6. Step 6: Final answer
    x = 42.89

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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.