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Finding the Fourth Proportional to 464.24, 640.66 and 254.44

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Solution

The fourth proportional to 464.24, 640.66 and 254.44 is: 351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 640.66 = 254.44 : x
  2. Step 2: Convert to fraction form
    464.24/640.66 = 254.44/x
  3. Step 3: Cross multiply
    464.24x = 640.66 × 254.44
  4. Step 4: Simplify right side
    464.24x = 163,009.09
  5. Step 5: Solve for x
    x = 163,009.09/464.24
  6. Step 6: Final answer
    x = 351.13

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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.