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Finding the Fourth Proportional to 292.92, 401.16 and 276.09

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Solution

The fourth proportional to 292.92, 401.16 and 276.09 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 401.16 = 276.09 : x
  2. Step 2: Convert to fraction form
    292.92/401.16 = 276.09/x
  3. Step 3: Cross multiply
    292.92x = 401.16 × 276.09
  4. Step 4: Simplify right side
    292.92x = 110,756.26
  5. Step 5: Solve for x
    x = 110,756.26/292.92
  6. Step 6: Final answer
    x = 378.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.