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Finding the Fourth Proportional to 292.17, 403.31 and 194.06

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Solution

The fourth proportional to 292.17, 403.31 and 194.06 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 403.31 = 194.06 : x
  2. Step 2: Convert to fraction form
    292.17/403.31 = 194.06/x
  3. Step 3: Cross multiply
    292.17x = 403.31 × 194.06
  4. Step 4: Simplify right side
    292.17x = 78,266.34
  5. Step 5: Solve for x
    x = 78,266.34/292.17
  6. Step 6: Final answer
    x = 267.88

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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.