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Finding the Fourth Proportional to 288.56, 399.03 and 242.49

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Solution

The fourth proportional to 288.56, 399.03 and 242.49 is: 335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 399.03 = 242.49 : x
  2. Step 2: Convert to fraction form
    288.56/399.03 = 242.49/x
  3. Step 3: Cross multiply
    288.56x = 399.03 × 242.49
  4. Step 4: Simplify right side
    288.56x = 96,761.37
  5. Step 5: Solve for x
    x = 96,761.37/288.56
  6. Step 6: Final answer
    x = 335.32

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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.