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Finding the Fourth Proportional to 411.29, 615.91 and 319.22

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Solution

The fourth proportional to 411.29, 615.91 and 319.22 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 615.91 = 319.22 : x
  2. Step 2: Convert to fraction form
    411.29/615.91 = 319.22/x
  3. Step 3: Cross multiply
    411.29x = 615.91 × 319.22
  4. Step 4: Simplify right side
    411.29x = 196,607.71
  5. Step 5: Solve for x
    x = 196,607.71/411.29
  6. Step 6: Final answer
    x = 478.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.