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Finding the Fourth Proportional to 377.69, 521.40 and 261.05

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Solution

The fourth proportional to 377.69, 521.40 and 261.05 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 521.40 = 261.05 : x
  2. Step 2: Convert to fraction form
    377.69/521.40 = 261.05/x
  3. Step 3: Cross multiply
    377.69x = 521.40 × 261.05
  4. Step 4: Simplify right side
    377.69x = 136,108.86
  5. Step 5: Solve for x
    x = 136,108.86/377.69
  6. Step 6: Final answer
    x = 360.38

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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.