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Finding the Fourth Proportional to 292.86, 403.56 and 205.38

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Solution

The fourth proportional to 292.86, 403.56 and 205.38 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.86 : 403.56 = 205.38 : x
  2. Step 2: Convert to fraction form
    292.86/403.56 = 205.38/x
  3. Step 3: Cross multiply
    292.86x = 403.56 × 205.38
  4. Step 4: Simplify right side
    292.86x = 82,883.15
  5. Step 5: Solve for x
    x = 82,883.15/292.86
  6. Step 6: Final answer
    x = 283.01

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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.