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Finding the Fourth Proportional to 292.56, 401.06 and 287.33

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Solution

The fourth proportional to 292.56, 401.06 and 287.33 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 401.06 = 287.33 : x
  2. Step 2: Convert to fraction form
    292.56/401.06 = 287.33/x
  3. Step 3: Cross multiply
    292.56x = 401.06 × 287.33
  4. Step 4: Simplify right side
    292.56x = 115,233.13
  5. Step 5: Solve for x
    x = 115,233.13/292.56
  6. Step 6: Final answer
    x = 393.88

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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.