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Finding the Fourth Proportional to 292.55, 403.71 and 161.55

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Solution

The fourth proportional to 292.55, 403.71 and 161.55 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.55 : 403.71 = 161.55 : x
  2. Step 2: Convert to fraction form
    292.55/403.71 = 161.55/x
  3. Step 3: Cross multiply
    292.55x = 403.71 × 161.55
  4. Step 4: Simplify right side
    292.55x = 65,219.35
  5. Step 5: Solve for x
    x = 65,219.35/292.55
  6. Step 6: Final answer
    x = 222.94

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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.