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Finding the Fourth Proportional to 288.03, 397.34 and 194.78

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Solution

The fourth proportional to 288.03, 397.34 and 194.78 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.03 : 397.34 = 194.78 : x
  2. Step 2: Convert to fraction form
    288.03/397.34 = 194.78/x
  3. Step 3: Cross multiply
    288.03x = 397.34 × 194.78
  4. Step 4: Simplify right side
    288.03x = 77,394.64
  5. Step 5: Solve for x
    x = 77,394.64/288.03
  6. Step 6: Final answer
    x = 268.70

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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.