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Finding the Fourth Proportional to 38.62, 58.15 and 36.31

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Solution

The fourth proportional to 38.62, 58.15 and 36.31 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 58.15 = 36.31 : x
  2. Step 2: Convert to fraction form
    38.62/58.15 = 36.31/x
  3. Step 3: Cross multiply
    38.62x = 58.15 × 36.31
  4. Step 4: Simplify right side
    38.62x = 2,111.43
  5. Step 5: Solve for x
    x = 2,111.43/38.62
  6. Step 6: Final answer
    x = 54.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.