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Finding the Fourth Proportional to 290.05, 399.85 and 179.47

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Solution

The fourth proportional to 290.05, 399.85 and 179.47 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.05 : 399.85 = 179.47 : x
  2. Step 2: Convert to fraction form
    290.05/399.85 = 179.47/x
  3. Step 3: Cross multiply
    290.05x = 399.85 × 179.47
  4. Step 4: Simplify right side
    290.05x = 71,758.18
  5. Step 5: Solve for x
    x = 71,758.18/290.05
  6. Step 6: Final answer
    x = 247.40

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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.