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Finding the Fourth Proportional to 289.70, 399.54 and 179.20

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Solution

The fourth proportional to 289.70, 399.54 and 179.20 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 399.54 = 179.20 : x
  2. Step 2: Convert to fraction form
    289.70/399.54 = 179.20/x
  3. Step 3: Cross multiply
    289.70x = 399.54 × 179.20
  4. Step 4: Simplify right side
    289.70x = 71,597.57
  5. Step 5: Solve for x
    x = 71,597.57/289.70
  6. Step 6: Final answer
    x = 247.14

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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.