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Finding the Fourth Proportional to 377.22, 566.06 and 146.12

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Solution

The fourth proportional to 377.22, 566.06 and 146.12 is: 219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 566.06 = 146.12 : x
  2. Step 2: Convert to fraction form
    377.22/566.06 = 146.12/x
  3. Step 3: Cross multiply
    377.22x = 566.06 × 146.12
  4. Step 4: Simplify right side
    377.22x = 82,712.69
  5. Step 5: Solve for x
    x = 82,712.69/377.22
  6. Step 6: Final answer
    x = 219.27

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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.