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Finding the Fourth Proportional to 377.54, 520.79 and 259.42

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Solution

The fourth proportional to 377.54, 520.79 and 259.42 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.54 : 520.79 = 259.42 : x
  2. Step 2: Convert to fraction form
    377.54/520.79 = 259.42/x
  3. Step 3: Cross multiply
    377.54x = 520.79 × 259.42
  4. Step 4: Simplify right side
    377.54x = 135,103.34
  5. Step 5: Solve for x
    x = 135,103.34/377.54
  6. Step 6: Final answer
    x = 357.85

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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.