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Finding the Fourth Proportional to 464.39, 640.87 and 254.57

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Solution

The fourth proportional to 464.39, 640.87 and 254.57 is: 351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 640.87 = 254.57 : x
  2. Step 2: Convert to fraction form
    464.39/640.87 = 254.57/x
  3. Step 3: Cross multiply
    464.39x = 640.87 × 254.57
  4. Step 4: Simplify right side
    464.39x = 163,146.28
  5. Step 5: Solve for x
    x = 163,146.28/464.39
  6. Step 6: Final answer
    x = 351.31

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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.