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Finding the Fourth Proportional to 289.24, 397.91 and 252.47

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Solution

The fourth proportional to 289.24, 397.91 and 252.47 is: 347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 397.91 = 252.47 : x
  2. Step 2: Convert to fraction form
    289.24/397.91 = 252.47/x
  3. Step 3: Cross multiply
    289.24x = 397.91 × 252.47
  4. Step 4: Simplify right side
    289.24x = 100,461.96
  5. Step 5: Solve for x
    x = 100,461.96/289.24
  6. Step 6: Final answer
    x = 347.33

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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.