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Finding the Fourth Proportional to 390.08, 584.40 and 216.56

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Solution

The fourth proportional to 390.08, 584.40 and 216.56 is: 324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 584.40 = 216.56 : x
  2. Step 2: Convert to fraction form
    390.08/584.40 = 216.56/x
  3. Step 3: Cross multiply
    390.08x = 584.40 × 216.56
  4. Step 4: Simplify right side
    390.08x = 126,557.66
  5. Step 5: Solve for x
    x = 126,557.66/390.08
  6. Step 6: Final answer
    x = 324.44

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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.