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Finding the Fourth Proportional to 377.76, 567.02 and 261.80

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Solution

The fourth proportional to 377.76, 567.02 and 261.80 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 567.02 = 261.80 : x
  2. Step 2: Convert to fraction form
    377.76/567.02 = 261.80/x
  3. Step 3: Cross multiply
    377.76x = 567.02 × 261.80
  4. Step 4: Simplify right side
    377.76x = 148,444.53
  5. Step 5: Solve for x
    x = 148,444.53/377.76
  6. Step 6: Final answer
    x = 392.97

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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.