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Finding the Fourth Proportional to 407.17, 609.71 and 224.36

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Solution

The fourth proportional to 407.17, 609.71 and 224.36 is: 335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.17 : 609.71 = 224.36 : x
  2. Step 2: Convert to fraction form
    407.17/609.71 = 224.36/x
  3. Step 3: Cross multiply
    407.17x = 609.71 × 224.36
  4. Step 4: Simplify right side
    407.17x = 136,794.54
  5. Step 5: Solve for x
    x = 136,794.54/407.17
  6. Step 6: Final answer
    x = 335.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.