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Finding the Fourth Proportional to 30.55, 42.20 and 29.92

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Solution

The fourth proportional to 30.55, 42.20 and 29.92 is: 41.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.55 : 42.20 = 29.92 : x
  2. Step 2: Convert to fraction form
    30.55/42.20 = 29.92/x
  3. Step 3: Cross multiply
    30.55x = 42.20 × 29.92
  4. Step 4: Simplify right side
    30.55x = 1,262.62
  5. Step 5: Solve for x
    x = 1,262.62/30.55
  6. Step 6: Final answer
    x = 41.33

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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.