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Finding the Fourth Proportional to 377.87, 520.63 and 295.25

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Solution

The fourth proportional to 377.87, 520.63 and 295.25 is: 406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.87 : 520.63 = 295.25 : x
  2. Step 2: Convert to fraction form
    377.87/520.63 = 295.25/x
  3. Step 3: Cross multiply
    377.87x = 520.63 × 295.25
  4. Step 4: Simplify right side
    377.87x = 153,712.67
  5. Step 5: Solve for x
    x = 153,712.67/377.87
  6. Step 6: Final answer
    x = 406.79

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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.