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Finding the Fourth Proportional to 409.42, 564.90 and 285.34

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Solution

The fourth proportional to 409.42, 564.90 and 285.34 is: 393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 564.90 = 285.34 : x
  2. Step 2: Convert to fraction form
    409.42/564.90 = 285.34/x
  3. Step 3: Cross multiply
    409.42x = 564.90 × 285.34
  4. Step 4: Simplify right side
    409.42x = 161,188.57
  5. Step 5: Solve for x
    x = 161,188.57/409.42
  6. Step 6: Final answer
    x = 393.70

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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.