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Finding the Fourth Proportional to 38.32, 53.20 and 35.36

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Solution

The fourth proportional to 38.32, 53.20 and 35.36 is: 49.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.32 : 53.20 = 35.36 : x
  2. Step 2: Convert to fraction form
    38.32/53.20 = 35.36/x
  3. Step 3: Cross multiply
    38.32x = 53.20 × 35.36
  4. Step 4: Simplify right side
    38.32x = 1,881.15
  5. Step 5: Solve for x
    x = 1,881.15/38.32
  6. Step 6: Final answer
    x = 49.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.