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Finding the Fourth Proportional to 288.52, 398.06 and 174.98

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Solution

The fourth proportional to 288.52, 398.06 and 174.98 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 398.06 = 174.98 : x
  2. Step 2: Convert to fraction form
    288.52/398.06 = 174.98/x
  3. Step 3: Cross multiply
    288.52x = 398.06 × 174.98
  4. Step 4: Simplify right side
    288.52x = 69,652.54
  5. Step 5: Solve for x
    x = 69,652.54/288.52
  6. Step 6: Final answer
    x = 241.41

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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.