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Finding the Fourth Proportional to 29.81, 40.61 and 29.72

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Solution

The fourth proportional to 29.81, 40.61 and 29.72 is: 40.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 40.61 = 29.72 : x
  2. Step 2: Convert to fraction form
    29.81/40.61 = 29.72/x
  3. Step 3: Cross multiply
    29.81x = 40.61 × 29.72
  4. Step 4: Simplify right side
    29.81x = 1,206.93
  5. Step 5: Solve for x
    x = 1,206.93/29.81
  6. Step 6: Final answer
    x = 40.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.