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Finding the Fourth Proportional to 377.75, 566.27 and 146.79

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Solution

The fourth proportional to 377.75, 566.27 and 146.79 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 566.27 = 146.79 : x
  2. Step 2: Convert to fraction form
    377.75/566.27 = 146.79/x
  3. Step 3: Cross multiply
    377.75x = 566.27 × 146.79
  4. Step 4: Simplify right side
    377.75x = 83,122.77
  5. Step 5: Solve for x
    x = 83,122.77/377.75
  6. Step 6: Final answer
    x = 220.05

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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.