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Finding the Fourth Proportional to 293.56, 402.43 and 288.33

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Solution

The fourth proportional to 293.56, 402.43 and 288.33 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 402.43 = 288.33 : x
  2. Step 2: Convert to fraction form
    293.56/402.43 = 288.33/x
  3. Step 3: Cross multiply
    293.56x = 402.43 × 288.33
  4. Step 4: Simplify right side
    293.56x = 116,032.64
  5. Step 5: Solve for x
    x = 116,032.64/293.56
  6. Step 6: Final answer
    x = 395.26

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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.