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Finding the Fourth Proportional to 289.78, 399.64 and 179.22

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Solution

The fourth proportional to 289.78, 399.64 and 179.22 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 399.64 = 179.22 : x
  2. Step 2: Convert to fraction form
    289.78/399.64 = 179.22/x
  3. Step 3: Cross multiply
    289.78x = 399.64 × 179.22
  4. Step 4: Simplify right side
    289.78x = 71,623.48
  5. Step 5: Solve for x
    x = 71,623.48/289.78
  6. Step 6: Final answer
    x = 247.17

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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.