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Finding the Fourth Proportional to 377.91, 566.80 and 146.90

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Solution

The fourth proportional to 377.91, 566.80 and 146.90 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.91 : 566.80 = 146.90 : x
  2. Step 2: Convert to fraction form
    377.91/566.80 = 146.90/x
  3. Step 3: Cross multiply
    377.91x = 566.80 × 146.90
  4. Step 4: Simplify right side
    377.91x = 83,262.19
  5. Step 5: Solve for x
    x = 83,262.19/377.91
  6. Step 6: Final answer
    x = 220.32

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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.