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Finding the Fourth Proportional to 466.43, 643.10 and 355.73

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Solution

The fourth proportional to 466.43, 643.10 and 355.73 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.43 : 643.10 = 355.73 : x
  2. Step 2: Convert to fraction form
    466.43/643.10 = 355.73/x
  3. Step 3: Cross multiply
    466.43x = 643.10 × 355.73
  4. Step 4: Simplify right side
    466.43x = 228,769.79
  5. Step 5: Solve for x
    x = 228,769.79/466.43
  6. Step 6: Final answer
    x = 490.47

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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.