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Finding the Fourth Proportional to 292.80, 403.85 and 286.12

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Solution

The fourth proportional to 292.80, 403.85 and 286.12 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 403.85 = 286.12 : x
  2. Step 2: Convert to fraction form
    292.80/403.85 = 286.12/x
  3. Step 3: Cross multiply
    292.80x = 403.85 × 286.12
  4. Step 4: Simplify right side
    292.80x = 115,549.56
  5. Step 5: Solve for x
    x = 115,549.56/292.80
  6. Step 6: Final answer
    x = 394.64

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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.