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Finding the Fourth Proportional to 292.17, 403.27 and 213.60

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Solution

The fourth proportional to 292.17, 403.27 and 213.60 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 403.27 = 213.60 : x
  2. Step 2: Convert to fraction form
    292.17/403.27 = 213.60/x
  3. Step 3: Cross multiply
    292.17x = 403.27 × 213.60
  4. Step 4: Simplify right side
    292.17x = 86,137.94
  5. Step 5: Solve for x
    x = 86,137.94/292.17
  6. Step 6: Final answer
    x = 294.82

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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.