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Finding the Fourth Proportional to 288.31, 398.33 and 201.37

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Solution

The fourth proportional to 288.31, 398.33 and 201.37 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 398.33 = 201.37 : x
  2. Step 2: Convert to fraction form
    288.31/398.33 = 201.37/x
  3. Step 3: Cross multiply
    288.31x = 398.33 × 201.37
  4. Step 4: Simplify right side
    288.31x = 80,210.46
  5. Step 5: Solve for x
    x = 80,210.46/288.31
  6. Step 6: Final answer
    x = 278.21

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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.