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Finding the Fourth Proportional to 377.70, 520.65 and 261.06

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Solution

The fourth proportional to 377.70, 520.65 and 261.06 is: 359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.70 : 520.65 = 261.06 : x
  2. Step 2: Convert to fraction form
    377.70/520.65 = 261.06/x
  3. Step 3: Cross multiply
    377.70x = 520.65 × 261.06
  4. Step 4: Simplify right side
    377.70x = 135,920.89
  5. Step 5: Solve for x
    x = 135,920.89/377.70
  6. Step 6: Final answer
    x = 359.86

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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.