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Finding the Fourth Proportional to 344.03, 472.46 and 288.66

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Solution

The fourth proportional to 344.03, 472.46 and 288.66 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.03 : 472.46 = 288.66 : x
  2. Step 2: Convert to fraction form
    344.03/472.46 = 288.66/x
  3. Step 3: Cross multiply
    344.03x = 472.46 × 288.66
  4. Step 4: Simplify right side
    344.03x = 136,382.26
  5. Step 5: Solve for x
    x = 136,382.26/344.03
  6. Step 6: Final answer
    x = 396.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.