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Finding the Fourth Proportional to 292.34, 403.43 and 161.34

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Solution

The fourth proportional to 292.34, 403.43 and 161.34 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 403.43 = 161.34 : x
  2. Step 2: Convert to fraction form
    292.34/403.43 = 161.34/x
  3. Step 3: Cross multiply
    292.34x = 403.43 × 161.34
  4. Step 4: Simplify right side
    292.34x = 65,088.59
  5. Step 5: Solve for x
    x = 65,088.59/292.34
  6. Step 6: Final answer
    x = 222.65

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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.