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Finding the Fourth Proportional to 377.12, 564.82 and 268.56

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Solution

The fourth proportional to 377.12, 564.82 and 268.56 is: 402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 564.82 = 268.56 : x
  2. Step 2: Convert to fraction form
    377.12/564.82 = 268.56/x
  3. Step 3: Cross multiply
    377.12x = 564.82 × 268.56
  4. Step 4: Simplify right side
    377.12x = 151,688.06
  5. Step 5: Solve for x
    x = 151,688.06/377.12
  6. Step 6: Final answer
    x = 402.23

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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.