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Finding the Fourth Proportional to 38.17, 56.90 and 36.98

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Solution

The fourth proportional to 38.17, 56.90 and 36.98 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.17 : 56.90 = 36.98 : x
  2. Step 2: Convert to fraction form
    38.17/56.90 = 36.98/x
  3. Step 3: Cross multiply
    38.17x = 56.90 × 36.98
  4. Step 4: Simplify right side
    38.17x = 2,103.97
  5. Step 5: Solve for x
    x = 2,103.97/38.17
  6. Step 6: Final answer
    x = 55.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.