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Finding the Fourth Proportional to 38.39, 52.94 and 31.46

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Solution

The fourth proportional to 38.39, 52.94 and 31.46 is: 43.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.39 : 52.94 = 31.46 : x
  2. Step 2: Convert to fraction form
    38.39/52.94 = 31.46/x
  3. Step 3: Cross multiply
    38.39x = 52.94 × 31.46
  4. Step 4: Simplify right side
    38.39x = 1,665.07
  5. Step 5: Solve for x
    x = 1,665.07/38.39
  6. Step 6: Final answer
    x = 43.38

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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.