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Finding the Fourth Proportional to 409.97, 565.96 and 385.67

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Solution

The fourth proportional to 409.97, 565.96 and 385.67 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 565.96 = 385.67 : x
  2. Step 2: Convert to fraction form
    409.97/565.96 = 385.67/x
  3. Step 3: Cross multiply
    409.97x = 565.96 × 385.67
  4. Step 4: Simplify right side
    409.97x = 218,274.24
  5. Step 5: Solve for x
    x = 218,274.24/409.97
  6. Step 6: Final answer
    x = 532.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.