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Finding the Fourth Proportional to 288.46, 397.74 and 241.48

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Solution

The fourth proportional to 288.46, 397.74 and 241.48 is: 332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 397.74 = 241.48 : x
  2. Step 2: Convert to fraction form
    288.46/397.74 = 241.48/x
  3. Step 3: Cross multiply
    288.46x = 397.74 × 241.48
  4. Step 4: Simplify right side
    288.46x = 96,046.26
  5. Step 5: Solve for x
    x = 96,046.26/288.46
  6. Step 6: Final answer
    x = 332.96

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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.