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Finding the Fourth Proportional to 464.33, 640.78 and 254.52

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Solution

The fourth proportional to 464.33, 640.78 and 254.52 is: 351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 640.78 = 254.52 : x
  2. Step 2: Convert to fraction form
    464.33/640.78 = 254.52/x
  3. Step 3: Cross multiply
    464.33x = 640.78 × 254.52
  4. Step 4: Simplify right side
    464.33x = 163,090.69
  5. Step 5: Solve for x
    x = 163,090.69/464.33
  6. Step 6: Final answer
    x = 351.24

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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.