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Finding the Fourth Proportional to 464.69, 641.28 and 268.21

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Solution

The fourth proportional to 464.69, 641.28 and 268.21 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.69 : 641.28 = 268.21 : x
  2. Step 2: Convert to fraction form
    464.69/641.28 = 268.21/x
  3. Step 3: Cross multiply
    464.69x = 641.28 × 268.21
  4. Step 4: Simplify right side
    464.69x = 171,999.52
  5. Step 5: Solve for x
    x = 171,999.52/464.69
  6. Step 6: Final answer
    x = 370.14

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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.