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Finding the Fourth Proportional to 292.23, 402.98 and 204.75

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Solution

The fourth proportional to 292.23, 402.98 and 204.75 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 402.98 = 204.75 : x
  2. Step 2: Convert to fraction form
    292.23/402.98 = 204.75/x
  3. Step 3: Cross multiply
    292.23x = 402.98 × 204.75
  4. Step 4: Simplify right side
    292.23x = 82,509.13
  5. Step 5: Solve for x
    x = 82,509.13/292.23
  6. Step 6: Final answer
    x = 282.34

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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.