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Finding the Fourth Proportional to 30.97, 42.60 and 29.22

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Solution

The fourth proportional to 30.97, 42.60 and 29.22 is: 40.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 42.60 = 29.22 : x
  2. Step 2: Convert to fraction form
    30.97/42.60 = 29.22/x
  3. Step 3: Cross multiply
    30.97x = 42.60 × 29.22
  4. Step 4: Simplify right side
    30.97x = 1,244.77
  5. Step 5: Solve for x
    x = 1,244.77/30.97
  6. Step 6: Final answer
    x = 40.19

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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.