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Finding the Fourth Proportional to 292.82, 403.99 and 204.32

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Solution

The fourth proportional to 292.82, 403.99 and 204.32 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 403.99 = 204.32 : x
  2. Step 2: Convert to fraction form
    292.82/403.99 = 204.32/x
  3. Step 3: Cross multiply
    292.82x = 403.99 × 204.32
  4. Step 4: Simplify right side
    292.82x = 82,543.74
  5. Step 5: Solve for x
    x = 82,543.74/292.82
  6. Step 6: Final answer
    x = 281.90

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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.