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Finding the Fourth Proportional to 387.20, 584.04 and 364.74

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Solution

The fourth proportional to 387.20, 584.04 and 364.74 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.20 : 584.04 = 364.74 : x
  2. Step 2: Convert to fraction form
    387.20/584.04 = 364.74/x
  3. Step 3: Cross multiply
    387.20x = 584.04 × 364.74
  4. Step 4: Simplify right side
    387.20x = 213,022.75
  5. Step 5: Solve for x
    x = 213,022.75/387.20
  6. Step 6: Final answer
    x = 550.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.