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Finding the Fourth Proportional to 377.45, 520.43 and 342.48

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Solution

The fourth proportional to 377.45, 520.43 and 342.48 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 520.43 = 342.48 : x
  2. Step 2: Convert to fraction form
    377.45/520.43 = 342.48/x
  3. Step 3: Cross multiply
    377.45x = 520.43 × 342.48
  4. Step 4: Simplify right side
    377.45x = 178,235.15
  5. Step 5: Solve for x
    x = 178,235.15/377.45
  6. Step 6: Final answer
    x = 472.21

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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.