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Finding the Fourth Proportional to 387.76, 581.75 and 205.31

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Solution

The fourth proportional to 387.76, 581.75 and 205.31 is: 308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 581.75 = 205.31 : x
  2. Step 2: Convert to fraction form
    387.76/581.75 = 205.31/x
  3. Step 3: Cross multiply
    387.76x = 581.75 × 205.31
  4. Step 4: Simplify right side
    387.76x = 119,439.09
  5. Step 5: Solve for x
    x = 119,439.09/387.76
  6. Step 6: Final answer
    x = 308.02

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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.