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Finding the Fourth Proportional to 38.34, 57.45 and 31.08

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Solution

The fourth proportional to 38.34, 57.45 and 31.08 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 57.45 = 31.08 : x
  2. Step 2: Convert to fraction form
    38.34/57.45 = 31.08/x
  3. Step 3: Cross multiply
    38.34x = 57.45 × 31.08
  4. Step 4: Simplify right side
    38.34x = 1,785.55
  5. Step 5: Solve for x
    x = 1,785.55/38.34
  6. Step 6: Final answer
    x = 46.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.