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Finding the Fourth Proportional to 377.45, 566.00 and 146.45

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Solution

The fourth proportional to 377.45, 566.00 and 146.45 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 566.00 = 146.45 : x
  2. Step 2: Convert to fraction form
    377.45/566.00 = 146.45/x
  3. Step 3: Cross multiply
    377.45x = 566.00 × 146.45
  4. Step 4: Simplify right side
    377.45x = 82,892.48
  5. Step 5: Solve for x
    x = 82,892.48/377.45
  6. Step 6: Final answer
    x = 219.61

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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.