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Finding the Fourth Proportional to 288.36, 397.96 and 177.79

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Solution

The fourth proportional to 288.36, 397.96 and 177.79 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 397.96 = 177.79 : x
  2. Step 2: Convert to fraction form
    288.36/397.96 = 177.79/x
  3. Step 3: Cross multiply
    288.36x = 397.96 × 177.79
  4. Step 4: Simplify right side
    288.36x = 70,753.31
  5. Step 5: Solve for x
    x = 70,753.31/288.36
  6. Step 6: Final answer
    x = 245.37

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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.