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Finding the Fourth Proportional to 30.50, 41.96 and 29.85

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Solution

The fourth proportional to 30.50, 41.96 and 29.85 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 41.96 = 29.85 : x
  2. Step 2: Convert to fraction form
    30.50/41.96 = 29.85/x
  3. Step 3: Cross multiply
    30.50x = 41.96 × 29.85
  4. Step 4: Simplify right side
    30.50x = 1,252.51
  5. Step 5: Solve for x
    x = 1,252.51/30.50
  6. Step 6: Final answer
    x = 41.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.