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Finding the Fourth Proportional to 30.83, 41.99 and 30.69

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Solution

The fourth proportional to 30.83, 41.99 and 30.69 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.83 : 41.99 = 30.69 : x
  2. Step 2: Convert to fraction form
    30.83/41.99 = 30.69/x
  3. Step 3: Cross multiply
    30.83x = 41.99 × 30.69
  4. Step 4: Simplify right side
    30.83x = 1,288.52
  5. Step 5: Solve for x
    x = 1,288.52/30.83
  6. Step 6: Final answer
    x = 41.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.