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Finding the Fourth Proportional to 29.77, 41.24 and 29.03

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Solution

The fourth proportional to 29.77, 41.24 and 29.03 is: 40.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.77 : 41.24 = 29.03 : x
  2. Step 2: Convert to fraction form
    29.77/41.24 = 29.03/x
  3. Step 3: Cross multiply
    29.77x = 41.24 × 29.03
  4. Step 4: Simplify right side
    29.77x = 1,197.06
  5. Step 5: Solve for x
    x = 1,197.06/29.77
  6. Step 6: Final answer
    x = 40.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.