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Finding the Fourth Proportional to 448.54, 674.04 and 266.08

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Solution

The fourth proportional to 448.54, 674.04 and 266.08 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.54 : 674.04 = 266.08 : x
  2. Step 2: Convert to fraction form
    448.54/674.04 = 266.08/x
  3. Step 3: Cross multiply
    448.54x = 674.04 × 266.08
  4. Step 4: Simplify right side
    448.54x = 179,348.56
  5. Step 5: Solve for x
    x = 179,348.56/448.54
  6. Step 6: Final answer
    x = 399.85

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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.