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Finding the Fourth Proportional to 61.01, 91.44 and 33.23

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Solution

The fourth proportional to 61.01, 91.44 and 33.23 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.01 : 91.44 = 33.23 : x
  2. Step 2: Convert to fraction form
    61.01/91.44 = 33.23/x
  3. Step 3: Cross multiply
    61.01x = 91.44 × 33.23
  4. Step 4: Simplify right side
    61.01x = 3,038.09
  5. Step 5: Solve for x
    x = 3,038.09/61.01
  6. Step 6: Final answer
    x = 49.80

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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.