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Finding the Fourth Proportional to 377.61, 566.31 and 146.43

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Solution

The fourth proportional to 377.61, 566.31 and 146.43 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.61 : 566.31 = 146.43 : x
  2. Step 2: Convert to fraction form
    377.61/566.31 = 146.43/x
  3. Step 3: Cross multiply
    377.61x = 566.31 × 146.43
  4. Step 4: Simplify right side
    377.61x = 82,924.77
  5. Step 5: Solve for x
    x = 82,924.77/377.61
  6. Step 6: Final answer
    x = 219.60

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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.