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Finding the Fourth Proportional to 30.01, 41.14 and 29.49

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Solution

The fourth proportional to 30.01, 41.14 and 29.49 is: 40.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.01 : 41.14 = 29.49 : x
  2. Step 2: Convert to fraction form
    30.01/41.14 = 29.49/x
  3. Step 3: Cross multiply
    30.01x = 41.14 × 29.49
  4. Step 4: Simplify right side
    30.01x = 1,213.22
  5. Step 5: Solve for x
    x = 1,213.22/30.01
  6. Step 6: Final answer
    x = 40.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.