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Finding the Fourth Proportional to 464.39, 640.83 and 254.55

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Solution

The fourth proportional to 464.39, 640.83 and 254.55 is: 351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 640.83 = 254.55 : x
  2. Step 2: Convert to fraction form
    464.39/640.83 = 254.55/x
  3. Step 3: Cross multiply
    464.39x = 640.83 × 254.55
  4. Step 4: Simplify right side
    464.39x = 163,123.28
  5. Step 5: Solve for x
    x = 163,123.28/464.39
  6. Step 6: Final answer
    x = 351.26

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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.