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Finding the Fourth Proportional to 376.76, 565.16 and 116.80

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Solution

The fourth proportional to 376.76, 565.16 and 116.80 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.76 : 565.16 = 116.80 : x
  2. Step 2: Convert to fraction form
    376.76/565.16 = 116.80/x
  3. Step 3: Cross multiply
    376.76x = 565.16 × 116.80
  4. Step 4: Simplify right side
    376.76x = 66,010.69
  5. Step 5: Solve for x
    x = 66,010.69/376.76
  6. Step 6: Final answer
    x = 175.21

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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.