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Finding the Fourth Proportional to 288.15, 397.17 and 271.68

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Solution

The fourth proportional to 288.15, 397.17 and 271.68 is: 374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 397.17 = 271.68 : x
  2. Step 2: Convert to fraction form
    288.15/397.17 = 271.68/x
  3. Step 3: Cross multiply
    288.15x = 397.17 × 271.68
  4. Step 4: Simplify right side
    288.15x = 107,903.15
  5. Step 5: Solve for x
    x = 107,903.15/288.15
  6. Step 6: Final answer
    x = 374.47

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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.