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Finding the Fourth Proportional to 377.76, 566.62 and 121.26

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Solution

The fourth proportional to 377.76, 566.62 and 121.26 is: 181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 566.62 = 121.26 : x
  2. Step 2: Convert to fraction form
    377.76/566.62 = 121.26/x
  3. Step 3: Cross multiply
    377.76x = 566.62 × 121.26
  4. Step 4: Simplify right side
    377.76x = 68,708.34
  5. Step 5: Solve for x
    x = 68,708.34/377.76
  6. Step 6: Final answer
    x = 181.88

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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.