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Finding the Fourth Proportional to 387.81, 535.15 and 230.43

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Solution

The fourth proportional to 387.81, 535.15 and 230.43 is: 317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.81 : 535.15 = 230.43 : x
  2. Step 2: Convert to fraction form
    387.81/535.15 = 230.43/x
  3. Step 3: Cross multiply
    387.81x = 535.15 × 230.43
  4. Step 4: Simplify right side
    387.81x = 123,313.46
  5. Step 5: Solve for x
    x = 123,313.46/387.81
  6. Step 6: Final answer
    x = 317.98

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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.