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Finding the Fourth Proportional to 378.24, 521.93 and 230.85

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Solution

The fourth proportional to 378.24, 521.93 and 230.85 is: 318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 521.93 = 230.85 : x
  2. Step 2: Convert to fraction form
    378.24/521.93 = 230.85/x
  3. Step 3: Cross multiply
    378.24x = 521.93 × 230.85
  4. Step 4: Simplify right side
    378.24x = 120,486.39
  5. Step 5: Solve for x
    x = 120,486.39/378.24
  6. Step 6: Final answer
    x = 318.54

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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.