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Finding the Fourth Proportional to 377.24, 520.63 and 229.91

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Solution

The fourth proportional to 377.24, 520.63 and 229.91 is: 317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 520.63 = 229.91 : x
  2. Step 2: Convert to fraction form
    377.24/520.63 = 229.91/x
  3. Step 3: Cross multiply
    377.24x = 520.63 × 229.91
  4. Step 4: Simplify right side
    377.24x = 119,694.87
  5. Step 5: Solve for x
    x = 119,694.87/377.24
  6. Step 6: Final answer
    x = 317.30

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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.