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Finding the Fourth Proportional to 417.57, 625.26 and 225.33

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Solution

The fourth proportional to 417.57, 625.26 and 225.33 is: 337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.57 : 625.26 = 225.33 : x
  2. Step 2: Convert to fraction form
    417.57/625.26 = 225.33/x
  3. Step 3: Cross multiply
    417.57x = 625.26 × 225.33
  4. Step 4: Simplify right side
    417.57x = 140,889.84
  5. Step 5: Solve for x
    x = 140,889.84/417.57
  6. Step 6: Final answer
    x = 337.40

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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.