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Finding the Fourth Proportional to 307.22, 423.47 and 224.19

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Solution

The fourth proportional to 307.22, 423.47 and 224.19 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 423.47 = 224.19 : x
  2. Step 2: Convert to fraction form
    307.22/423.47 = 224.19/x
  3. Step 3: Cross multiply
    307.22x = 423.47 × 224.19
  4. Step 4: Simplify right side
    307.22x = 94,936.62
  5. Step 5: Solve for x
    x = 94,936.62/307.22
  6. Step 6: Final answer
    x = 309.02

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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.