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Finding the Fourth Proportional to 292.55, 403.85 and 204.17

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Solution

The fourth proportional to 292.55, 403.85 and 204.17 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.55 : 403.85 = 204.17 : x
  2. Step 2: Convert to fraction form
    292.55/403.85 = 204.17/x
  3. Step 3: Cross multiply
    292.55x = 403.85 × 204.17
  4. Step 4: Simplify right side
    292.55x = 82,451.01
  5. Step 5: Solve for x
    x = 82,451.01/292.55
  6. Step 6: Final answer
    x = 281.84

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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.