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Finding the Fourth Proportional to 376.84, 565.17 and 160.39

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Solution

The fourth proportional to 376.84, 565.17 and 160.39 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 565.17 = 160.39 : x
  2. Step 2: Convert to fraction form
    376.84/565.17 = 160.39/x
  3. Step 3: Cross multiply
    376.84x = 565.17 × 160.39
  4. Step 4: Simplify right side
    376.84x = 90,647.62
  5. Step 5: Solve for x
    x = 90,647.62/376.84
  6. Step 6: Final answer
    x = 240.55

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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.