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Finding the Fourth Proportional to 387.68, 584.15 and 320.70

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Solution

The fourth proportional to 387.68, 584.15 and 320.70 is: 483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 584.15 = 320.70 : x
  2. Step 2: Convert to fraction form
    387.68/584.15 = 320.70/x
  3. Step 3: Cross multiply
    387.68x = 584.15 × 320.70
  4. Step 4: Simplify right side
    387.68x = 187,337.49
  5. Step 5: Solve for x
    x = 187,337.49/387.68
  6. Step 6: Final answer
    x = 483.23

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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.