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Finding the Fourth Proportional to 417.51, 626.28 and 225.09

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Solution

The fourth proportional to 417.51, 626.28 and 225.09 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 626.28 = 225.09 : x
  2. Step 2: Convert to fraction form
    417.51/626.28 = 225.09/x
  3. Step 3: Cross multiply
    417.51x = 626.28 × 225.09
  4. Step 4: Simplify right side
    417.51x = 140,969.37
  5. Step 5: Solve for x
    x = 140,969.37/417.51
  6. Step 6: Final answer
    x = 337.64

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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.