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Finding the Fourth Proportional to 38.05, 52.50 and 31.90

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Solution

The fourth proportional to 38.05, 52.50 and 31.90 is: 44.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 52.50 = 31.90 : x
  2. Step 2: Convert to fraction form
    38.05/52.50 = 31.90/x
  3. Step 3: Cross multiply
    38.05x = 52.50 × 31.90
  4. Step 4: Simplify right side
    38.05x = 1,674.75
  5. Step 5: Solve for x
    x = 1,674.75/38.05
  6. Step 6: Final answer
    x = 44.01

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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.