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Finding the Fourth Proportional to 417.62, 625.62 and 201.35

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Solution

The fourth proportional to 417.62, 625.62 and 201.35 is: 301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.62 : 625.62 = 201.35 : x
  2. Step 2: Convert to fraction form
    417.62/625.62 = 201.35/x
  3. Step 3: Cross multiply
    417.62x = 625.62 × 201.35
  4. Step 4: Simplify right side
    417.62x = 125,968.59
  5. Step 5: Solve for x
    x = 125,968.59/417.62
  6. Step 6: Final answer
    x = 301.63

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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.