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Finding the Fourth Proportional to 387.41, 533.94 and 308.57

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Solution

The fourth proportional to 387.41, 533.94 and 308.57 is: 425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.41 : 533.94 = 308.57 : x
  2. Step 2: Convert to fraction form
    387.41/533.94 = 308.57/x
  3. Step 3: Cross multiply
    387.41x = 533.94 × 308.57
  4. Step 4: Simplify right side
    387.41x = 164,757.87
  5. Step 5: Solve for x
    x = 164,757.87/387.41
  6. Step 6: Final answer
    x = 425.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.