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Finding the Fourth Proportional to 378.20, 564.20 and 366.45

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Solution

The fourth proportional to 378.20, 564.20 and 366.45 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 564.20 = 366.45 : x
  2. Step 2: Convert to fraction form
    378.20/564.20 = 366.45/x
  3. Step 3: Cross multiply
    378.20x = 564.20 × 366.45
  4. Step 4: Simplify right side
    378.20x = 206,749.26
  5. Step 5: Solve for x
    x = 206,749.26/378.20
  6. Step 6: Final answer
    x = 546.67

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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.