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Finding the Fourth Proportional to 409.04, 564.27 and 292.67

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Solution

The fourth proportional to 409.04, 564.27 and 292.67 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.27 = 292.67 : x
  2. Step 2: Convert to fraction form
    409.04/564.27 = 292.67/x
  3. Step 3: Cross multiply
    409.04x = 564.27 × 292.67
  4. Step 4: Simplify right side
    409.04x = 165,144.90
  5. Step 5: Solve for x
    x = 165,144.90/409.04
  6. Step 6: Final answer
    x = 403.74

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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.