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Finding the Fourth Proportional to 387.93, 584.57 and 320.96

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Solution

The fourth proportional to 387.93, 584.57 and 320.96 is: 483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.93 : 584.57 = 320.96 : x
  2. Step 2: Convert to fraction form
    387.93/584.57 = 320.96/x
  3. Step 3: Cross multiply
    387.93x = 584.57 × 320.96
  4. Step 4: Simplify right side
    387.93x = 187,625.85
  5. Step 5: Solve for x
    x = 187,625.85/387.93
  6. Step 6: Final answer
    x = 483.65

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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.