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Finding the Fourth Proportional to 377.40, 520.71 and 230.07

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Solution

The fourth proportional to 377.40, 520.71 and 230.07 is: 317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.40 : 520.71 = 230.07 : x
  2. Step 2: Convert to fraction form
    377.40/520.71 = 230.07/x
  3. Step 3: Cross multiply
    377.40x = 520.71 × 230.07
  4. Step 4: Simplify right side
    377.40x = 119,799.75
  5. Step 5: Solve for x
    x = 119,799.75/377.40
  6. Step 6: Final answer
    x = 317.43

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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.