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Finding the Fourth Proportional to 388.67, 582.13 and 301.31

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Solution

The fourth proportional to 388.67, 582.13 and 301.31 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.67 : 582.13 = 301.31 : x
  2. Step 2: Convert to fraction form
    388.67/582.13 = 301.31/x
  3. Step 3: Cross multiply
    388.67x = 582.13 × 301.31
  4. Step 4: Simplify right side
    388.67x = 175,397.93
  5. Step 5: Solve for x
    x = 175,397.93/388.67
  6. Step 6: Final answer
    x = 451.28

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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.