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Finding the Fourth Proportional to 377.82, 564.44 and 239.76

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Solution

The fourth proportional to 377.82, 564.44 and 239.76 is: 358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 564.44 = 239.76 : x
  2. Step 2: Convert to fraction form
    377.82/564.44 = 239.76/x
  3. Step 3: Cross multiply
    377.82x = 564.44 × 239.76
  4. Step 4: Simplify right side
    377.82x = 135,328.94
  5. Step 5: Solve for x
    x = 135,328.94/377.82
  6. Step 6: Final answer
    x = 358.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.