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Finding the Fourth Proportional to 344.12, 474.36 and 289.04

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Solution

The fourth proportional to 344.12, 474.36 and 289.04 is: 398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.12 : 474.36 = 289.04 : x
  2. Step 2: Convert to fraction form
    344.12/474.36 = 289.04/x
  3. Step 3: Cross multiply
    344.12x = 474.36 × 289.04
  4. Step 4: Simplify right side
    344.12x = 137,109.01
  5. Step 5: Solve for x
    x = 137,109.01/344.12
  6. Step 6: Final answer
    x = 398.43

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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.