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Finding the Fourth Proportional to 441.47, 609.32 and 266.78

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Solution

The fourth proportional to 441.47, 609.32 and 266.78 is: 368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.47 : 609.32 = 266.78 : x
  2. Step 2: Convert to fraction form
    441.47/609.32 = 266.78/x
  3. Step 3: Cross multiply
    441.47x = 609.32 × 266.78
  4. Step 4: Simplify right side
    441.47x = 162,554.39
  5. Step 5: Solve for x
    x = 162,554.39/441.47
  6. Step 6: Final answer
    x = 368.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.