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Finding the Fourth Proportional to 387.96, 535.30 and 230.65

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Solution

The fourth proportional to 387.96, 535.30 and 230.65 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 535.30 = 230.65 : x
  2. Step 2: Convert to fraction form
    387.96/535.30 = 230.65/x
  3. Step 3: Cross multiply
    387.96x = 535.30 × 230.65
  4. Step 4: Simplify right side
    387.96x = 123,465.03
  5. Step 5: Solve for x
    x = 123,465.03/387.96
  6. Step 6: Final answer
    x = 318.24

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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.