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Finding the Fourth Proportional to 292.06, 402.73 and 218.25

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Solution

The fourth proportional to 292.06, 402.73 and 218.25 is: 300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 402.73 = 218.25 : x
  2. Step 2: Convert to fraction form
    292.06/402.73 = 218.25/x
  3. Step 3: Cross multiply
    292.06x = 402.73 × 218.25
  4. Step 4: Simplify right side
    292.06x = 87,895.82
  5. Step 5: Solve for x
    x = 87,895.82/292.06
  6. Step 6: Final answer
    x = 300.95

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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.