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Finding the Fourth Proportional to 288.39, 397.81 and 214.79

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Solution

The fourth proportional to 288.39, 397.81 and 214.79 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.39 : 397.81 = 214.79 : x
  2. Step 2: Convert to fraction form
    288.39/397.81 = 214.79/x
  3. Step 3: Cross multiply
    288.39x = 397.81 × 214.79
  4. Step 4: Simplify right side
    288.39x = 85,443.89
  5. Step 5: Solve for x
    x = 85,443.89/288.39
  6. Step 6: Final answer
    x = 296.28

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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.