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Finding the Fourth Proportional to 377.74, 565.47 and 345.85

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Solution

The fourth proportional to 377.74, 565.47 and 345.85 is: 517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.74 : 565.47 = 345.85 : x
  2. Step 2: Convert to fraction form
    377.74/565.47 = 345.85/x
  3. Step 3: Cross multiply
    377.74x = 565.47 × 345.85
  4. Step 4: Simplify right side
    377.74x = 195,567.80
  5. Step 5: Solve for x
    x = 195,567.80/377.74
  6. Step 6: Final answer
    x = 517.73

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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.