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Finding the Fourth Proportional to 466.31, 644.05 and 318.69

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Solution

The fourth proportional to 466.31, 644.05 and 318.69 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 644.05 = 318.69 : x
  2. Step 2: Convert to fraction form
    466.31/644.05 = 318.69/x
  3. Step 3: Cross multiply
    466.31x = 644.05 × 318.69
  4. Step 4: Simplify right side
    466.31x = 205,252.69
  5. Step 5: Solve for x
    x = 205,252.69/466.31
  6. Step 6: Final answer
    x = 440.16

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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.