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Finding the Fourth Proportional to 342.37, 472.33 and 224.30

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Solution

The fourth proportional to 342.37, 472.33 and 224.30 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.37 : 472.33 = 224.30 : x
  2. Step 2: Convert to fraction form
    342.37/472.33 = 224.30/x
  3. Step 3: Cross multiply
    342.37x = 472.33 × 224.30
  4. Step 4: Simplify right side
    342.37x = 105,943.62
  5. Step 5: Solve for x
    x = 105,943.62/342.37
  6. Step 6: Final answer
    x = 309.44

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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.