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Finding the Fourth Proportional to 377.93, 566.97 and 146.81

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Solution

The fourth proportional to 377.93, 566.97 and 146.81 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.93 : 566.97 = 146.81 : x
  2. Step 2: Convert to fraction form
    377.93/566.97 = 146.81/x
  3. Step 3: Cross multiply
    377.93x = 566.97 × 146.81
  4. Step 4: Simplify right side
    377.93x = 83,234.03
  5. Step 5: Solve for x
    x = 83,234.03/377.93
  6. Step 6: Final answer
    x = 220.24

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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.