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Finding the Fourth Proportional to 377.55, 566.21 and 146.40

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Solution

The fourth proportional to 377.55, 566.21 and 146.40 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 566.21 = 146.40 : x
  2. Step 2: Convert to fraction form
    377.55/566.21 = 146.40/x
  3. Step 3: Cross multiply
    377.55x = 566.21 × 146.40
  4. Step 4: Simplify right side
    377.55x = 82,892.41
  5. Step 5: Solve for x
    x = 82,892.41/377.55
  6. Step 6: Final answer
    x = 219.55

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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.