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Finding the Fourth Proportional to 61.95, 92.88 and 36.30

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Solution

The fourth proportional to 61.95, 92.88 and 36.30 is: 54.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.95 : 92.88 = 36.30 : x
  2. Step 2: Convert to fraction form
    61.95/92.88 = 36.30/x
  3. Step 3: Cross multiply
    61.95x = 92.88 × 36.30
  4. Step 4: Simplify right side
    61.95x = 3,371.54
  5. Step 5: Solve for x
    x = 3,371.54/61.95
  6. Step 6: Final answer
    x = 54.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.