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Finding the Fourth Proportional to 388.13, 535.37 and 230.65

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Solution

The fourth proportional to 388.13, 535.37 and 230.65 is: 318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.13 : 535.37 = 230.65 : x
  2. Step 2: Convert to fraction form
    388.13/535.37 = 230.65/x
  3. Step 3: Cross multiply
    388.13x = 535.37 × 230.65
  4. Step 4: Simplify right side
    388.13x = 123,480.60
  5. Step 5: Solve for x
    x = 123,480.60/388.13
  6. Step 6: Final answer
    x = 318.15

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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.