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Finding the Fourth Proportional to 466.56, 643.90 and 319.68

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Solution

The fourth proportional to 466.56, 643.90 and 319.68 is: 441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 643.90 = 319.68 : x
  2. Step 2: Convert to fraction form
    466.56/643.90 = 319.68/x
  3. Step 3: Cross multiply
    466.56x = 643.90 × 319.68
  4. Step 4: Simplify right side
    466.56x = 205,841.95
  5. Step 5: Solve for x
    x = 205,841.95/466.56
  6. Step 6: Final answer
    x = 441.19

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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.