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Finding the Fourth Proportional to 409.02, 564.11 and 347.05

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Solution

The fourth proportional to 409.02, 564.11 and 347.05 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 564.11 = 347.05 : x
  2. Step 2: Convert to fraction form
    409.02/564.11 = 347.05/x
  3. Step 3: Cross multiply
    409.02x = 564.11 × 347.05
  4. Step 4: Simplify right side
    409.02x = 195,776.60
  5. Step 5: Solve for x
    x = 195,776.60/409.02
  6. Step 6: Final answer
    x = 478.65

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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.