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Finding the Fourth Proportional to 377.05, 520.23 and 229.75

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Solution

The fourth proportional to 377.05, 520.23 and 229.75 is: 316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.05 : 520.23 = 229.75 : x
  2. Step 2: Convert to fraction form
    377.05/520.23 = 229.75/x
  3. Step 3: Cross multiply
    377.05x = 520.23 × 229.75
  4. Step 4: Simplify right side
    377.05x = 119,522.84
  5. Step 5: Solve for x
    x = 119,522.84/377.05
  6. Step 6: Final answer
    x = 316.99

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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.