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Finding the Fourth Proportional to 387.91, 582.27 and 257.91

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Solution

The fourth proportional to 387.91, 582.27 and 257.91 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.91 : 582.27 = 257.91 : x
  2. Step 2: Convert to fraction form
    387.91/582.27 = 257.91/x
  3. Step 3: Cross multiply
    387.91x = 582.27 × 257.91
  4. Step 4: Simplify right side
    387.91x = 150,173.26
  5. Step 5: Solve for x
    x = 150,173.26/387.91
  6. Step 6: Final answer
    x = 387.13

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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.