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Finding the Fourth Proportional to 377.71, 566.76 and 231.77

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Solution

The fourth proportional to 377.71, 566.76 and 231.77 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.71 : 566.76 = 231.77 : x
  2. Step 2: Convert to fraction form
    377.71/566.76 = 231.77/x
  3. Step 3: Cross multiply
    377.71x = 566.76 × 231.77
  4. Step 4: Simplify right side
    377.71x = 131,357.97
  5. Step 5: Solve for x
    x = 131,357.97/377.71
  6. Step 6: Final answer
    x = 347.77

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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.