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Finding the Fourth Proportional to 389.71, 584.04 and 216.45

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Solution

The fourth proportional to 389.71, 584.04 and 216.45 is: 324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.71 : 584.04 = 216.45 : x
  2. Step 2: Convert to fraction form
    389.71/584.04 = 216.45/x
  3. Step 3: Cross multiply
    389.71x = 584.04 × 216.45
  4. Step 4: Simplify right side
    389.71x = 126,415.46
  5. Step 5: Solve for x
    x = 126,415.46/389.71
  6. Step 6: Final answer
    x = 324.38

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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.