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Finding the Fourth Proportional to 464.24, 640.49 and 371.21

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Solution

The fourth proportional to 464.24, 640.49 and 371.21 is: 512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 640.49 = 371.21 : x
  2. Step 2: Convert to fraction form
    464.24/640.49 = 371.21/x
  3. Step 3: Cross multiply
    464.24x = 640.49 × 371.21
  4. Step 4: Simplify right side
    464.24x = 237,751.23
  5. Step 5: Solve for x
    x = 237,751.23/464.24
  6. Step 6: Final answer
    x = 512.13

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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.