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Finding the Fourth Proportional to 464.49, 641.04 and 296.41

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Solution

The fourth proportional to 464.49, 641.04 and 296.41 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 641.04 = 296.41 : x
  2. Step 2: Convert to fraction form
    464.49/641.04 = 296.41/x
  3. Step 3: Cross multiply
    464.49x = 641.04 × 296.41
  4. Step 4: Simplify right side
    464.49x = 190,010.67
  5. Step 5: Solve for x
    x = 190,010.67/464.49
  6. Step 6: Final answer
    x = 409.07

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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.