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Finding the Fourth Proportional to 38.78, 53.42 and 35.16

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Solution

The fourth proportional to 38.78, 53.42 and 35.16 is: 48.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.78 : 53.42 = 35.16 : x
  2. Step 2: Convert to fraction form
    38.78/53.42 = 35.16/x
  3. Step 3: Cross multiply
    38.78x = 53.42 × 35.16
  4. Step 4: Simplify right side
    38.78x = 1,878.25
  5. Step 5: Solve for x
    x = 1,878.25/38.78
  6. Step 6: Final answer
    x = 48.43

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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.