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Finding the Fourth Proportional to 31.09, 42.94 and 29.57

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Solution

The fourth proportional to 31.09, 42.94 and 29.57 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 42.94 = 29.57 : x
  2. Step 2: Convert to fraction form
    31.09/42.94 = 29.57/x
  3. Step 3: Cross multiply
    31.09x = 42.94 × 29.57
  4. Step 4: Simplify right side
    31.09x = 1,269.72
  5. Step 5: Solve for x
    x = 1,269.72/31.09
  6. Step 6: Final answer
    x = 40.84

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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.