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Finding the Fourth Proportional to 387.63, 584.11 and 320.66

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Solution

The fourth proportional to 387.63, 584.11 and 320.66 is: 483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.63 : 584.11 = 320.66 : x
  2. Step 2: Convert to fraction form
    387.63/584.11 = 320.66/x
  3. Step 3: Cross multiply
    387.63x = 584.11 × 320.66
  4. Step 4: Simplify right side
    387.63x = 187,296.99
  5. Step 5: Solve for x
    x = 187,296.99/387.63
  6. Step 6: Final answer
    x = 483.18

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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.