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Finding the Fourth Proportional to 292.32, 402.96 and 193.86

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Solution

The fourth proportional to 292.32, 402.96 and 193.86 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 402.96 = 193.86 : x
  2. Step 2: Convert to fraction form
    292.32/402.96 = 193.86/x
  3. Step 3: Cross multiply
    292.32x = 402.96 × 193.86
  4. Step 4: Simplify right side
    292.32x = 78,117.83
  5. Step 5: Solve for x
    x = 78,117.83/292.32
  6. Step 6: Final answer
    x = 267.23

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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.