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Finding the Fourth Proportional to 466.31, 643.49 and 256.49

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Solution

The fourth proportional to 466.31, 643.49 and 256.49 is: 353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 643.49 = 256.49 : x
  2. Step 2: Convert to fraction form
    466.31/643.49 = 256.49/x
  3. Step 3: Cross multiply
    466.31x = 643.49 × 256.49
  4. Step 4: Simplify right side
    466.31x = 165,044.25
  5. Step 5: Solve for x
    x = 165,044.25/466.31
  6. Step 6: Final answer
    x = 353.94

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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.