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Finding the Fourth Proportional to 441.89, 661.71 and 266.08

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Solution

The fourth proportional to 441.89, 661.71 and 266.08 is: 398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.89 : 661.71 = 266.08 : x
  2. Step 2: Convert to fraction form
    441.89/661.71 = 266.08/x
  3. Step 3: Cross multiply
    441.89x = 661.71 × 266.08
  4. Step 4: Simplify right side
    441.89x = 176,069.62
  5. Step 5: Solve for x
    x = 176,069.62/441.89
  6. Step 6: Final answer
    x = 398.45

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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.