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Finding the Fourth Proportional to 288.87, 398.78 and 190.78

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Solution

The fourth proportional to 288.87, 398.78 and 190.78 is: 263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.87 : 398.78 = 190.78 : x
  2. Step 2: Convert to fraction form
    288.87/398.78 = 190.78/x
  3. Step 3: Cross multiply
    288.87x = 398.78 × 190.78
  4. Step 4: Simplify right side
    288.87x = 76,079.25
  5. Step 5: Solve for x
    x = 76,079.25/288.87
  6. Step 6: Final answer
    x = 263.37

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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.