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Finding the Fourth Proportional to 478.00, 716.77 and 217.84

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Solution

The fourth proportional to 478.00, 716.77 and 217.84 is: 326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.00 : 716.77 = 217.84 : x
  2. Step 2: Convert to fraction form
    478.00/716.77 = 217.84/x
  3. Step 3: Cross multiply
    478.00x = 716.77 × 217.84
  4. Step 4: Simplify right side
    478.00x = 156,136.50
  5. Step 5: Solve for x
    x = 156,136.50/478.00
  6. Step 6: Final answer
    x = 326.65

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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.