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Finding the Fourth Proportional to 292.08, 402.84 and 272.88

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Solution

The fourth proportional to 292.08, 402.84 and 272.88 is: 376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 402.84 = 272.88 : x
  2. Step 2: Convert to fraction form
    292.08/402.84 = 272.88/x
  3. Step 3: Cross multiply
    292.08x = 402.84 × 272.88
  4. Step 4: Simplify right side
    292.08x = 109,926.98
  5. Step 5: Solve for x
    x = 109,926.98/292.08
  6. Step 6: Final answer
    x = 376.36

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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.