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Finding the Fourth Proportional to 66.33, 99.41 and 49.07

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Solution

The fourth proportional to 66.33, 99.41 and 49.07 is: 73.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.33 : 99.41 = 49.07 : x
  2. Step 2: Convert to fraction form
    66.33/99.41 = 49.07/x
  3. Step 3: Cross multiply
    66.33x = 99.41 × 49.07
  4. Step 4: Simplify right side
    66.33x = 4,878.05
  5. Step 5: Solve for x
    x = 4,878.05/66.33
  6. Step 6: Final answer
    x = 73.54

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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.