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Finding the Fourth Proportional to 377.17, 565.89 and 336.85

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Solution

The fourth proportional to 377.17, 565.89 and 336.85 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.17 : 565.89 = 336.85 : x
  2. Step 2: Convert to fraction form
    377.17/565.89 = 336.85/x
  3. Step 3: Cross multiply
    377.17x = 565.89 × 336.85
  4. Step 4: Simplify right side
    377.17x = 190,620.05
  5. Step 5: Solve for x
    x = 190,620.05/377.17
  6. Step 6: Final answer
    x = 505.40

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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.