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Finding the Fourth Proportional to 38.90, 53.78 and 38.48

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Solution

The fourth proportional to 38.90, 53.78 and 38.48 is: 53.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.90 : 53.78 = 38.48 : x
  2. Step 2: Convert to fraction form
    38.90/53.78 = 38.48/x
  3. Step 3: Cross multiply
    38.90x = 53.78 × 38.48
  4. Step 4: Simplify right side
    38.90x = 2,069.45
  5. Step 5: Solve for x
    x = 2,069.45/38.90
  6. Step 6: Final answer
    x = 53.20

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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.