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Finding the Fourth Proportional to 377.46, 521.13 and 230.24

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Solution

The fourth proportional to 377.46, 521.13 and 230.24 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.46 : 521.13 = 230.24 : x
  2. Step 2: Convert to fraction form
    377.46/521.13 = 230.24/x
  3. Step 3: Cross multiply
    377.46x = 521.13 × 230.24
  4. Step 4: Simplify right side
    377.46x = 119,987.14
  5. Step 5: Solve for x
    x = 119,987.14/377.46
  6. Step 6: Final answer
    x = 317.88

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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.