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Finding the Fourth Proportional to 377.24, 564.82 and 285.67

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Solution

The fourth proportional to 377.24, 564.82 and 285.67 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 564.82 = 285.67 : x
  2. Step 2: Convert to fraction form
    377.24/564.82 = 285.67/x
  3. Step 3: Cross multiply
    377.24x = 564.82 × 285.67
  4. Step 4: Simplify right side
    377.24x = 161,350.00
  5. Step 5: Solve for x
    x = 161,350.00/377.24
  6. Step 6: Final answer
    x = 427.72

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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.