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Finding the Fourth Proportional to 377.69, 565.52 and 261.89

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Solution

The fourth proportional to 377.69, 565.52 and 261.89 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 565.52 = 261.89 : x
  2. Step 2: Convert to fraction form
    377.69/565.52 = 261.89/x
  3. Step 3: Cross multiply
    377.69x = 565.52 × 261.89
  4. Step 4: Simplify right side
    377.69x = 148,102.72
  5. Step 5: Solve for x
    x = 148,102.72/377.69
  6. Step 6: Final answer
    x = 392.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.