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Finding the Fourth Proportional to 478.11, 716.49 and 217.47

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Solution

The fourth proportional to 478.11, 716.49 and 217.47 is: 325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 716.49 = 217.47 : x
  2. Step 2: Convert to fraction form
    478.11/716.49 = 217.47/x
  3. Step 3: Cross multiply
    478.11x = 716.49 × 217.47
  4. Step 4: Simplify right side
    478.11x = 155,810.41
  5. Step 5: Solve for x
    x = 155,810.41/478.11
  6. Step 6: Final answer
    x = 325.89

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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.