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Finding the Fourth Proportional to 409.55, 563.87 and 347.24

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Solution

The fourth proportional to 409.55, 563.87 and 347.24 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.55 : 563.87 = 347.24 : x
  2. Step 2: Convert to fraction form
    409.55/563.87 = 347.24/x
  3. Step 3: Cross multiply
    409.55x = 563.87 × 347.24
  4. Step 4: Simplify right side
    409.55x = 195,793.66
  5. Step 5: Solve for x
    x = 195,793.66/409.55
  6. Step 6: Final answer
    x = 478.08

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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.