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Finding the Fourth Proportional to 299.22, 448.66 and 177.57

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Solution

The fourth proportional to 299.22, 448.66 and 177.57 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 448.66 = 177.57 : x
  2. Step 2: Convert to fraction form
    299.22/448.66 = 177.57/x
  3. Step 3: Cross multiply
    299.22x = 448.66 × 177.57
  4. Step 4: Simplify right side
    299.22x = 79,668.56
  5. Step 5: Solve for x
    x = 79,668.56/299.22
  6. Step 6: Final answer
    x = 266.25

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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.