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Finding the Fourth Proportional to 377.29, 566.00 and 133.80

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Solution

The fourth proportional to 377.29, 566.00 and 133.80 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.29 : 566.00 = 133.80 : x
  2. Step 2: Convert to fraction form
    377.29/566.00 = 133.80/x
  3. Step 3: Cross multiply
    377.29x = 566.00 × 133.80
  4. Step 4: Simplify right side
    377.29x = 75,730.13
  5. Step 5: Solve for x
    x = 75,730.13/377.29
  6. Step 6: Final answer
    x = 200.72

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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.