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Finding the Fourth Proportional to 466.58, 643.09 and 318.96

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Solution

The fourth proportional to 466.58, 643.09 and 318.96 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 643.09 = 318.96 : x
  2. Step 2: Convert to fraction form
    466.58/643.09 = 318.96/x
  3. Step 3: Cross multiply
    466.58x = 643.09 × 318.96
  4. Step 4: Simplify right side
    466.58x = 205,117.58
  5. Step 5: Solve for x
    x = 205,117.58/466.58
  6. Step 6: Final answer
    x = 439.62

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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.