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Finding the Fourth Proportional to 38.98, 53.45 and 38.53

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Solution

The fourth proportional to 38.98, 53.45 and 38.53 is: 52.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 53.45 = 38.53 : x
  2. Step 2: Convert to fraction form
    38.98/53.45 = 38.53/x
  3. Step 3: Cross multiply
    38.98x = 53.45 × 38.53
  4. Step 4: Simplify right side
    38.98x = 2,059.43
  5. Step 5: Solve for x
    x = 2,059.43/38.98
  6. Step 6: Final answer
    x = 52.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.