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Finding the Fourth Proportional to 442.29, 661.86 and 268.89

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Solution

The fourth proportional to 442.29, 661.86 and 268.89 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 661.86 = 268.89 : x
  2. Step 2: Convert to fraction form
    442.29/661.86 = 268.89/x
  3. Step 3: Cross multiply
    442.29x = 661.86 × 268.89
  4. Step 4: Simplify right side
    442.29x = 177,967.54
  5. Step 5: Solve for x
    x = 177,967.54/442.29
  6. Step 6: Final answer
    x = 402.38

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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.