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Finding the Fourth Proportional to 417.20, 625.37 and 234.77

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Solution

The fourth proportional to 417.20, 625.37 and 234.77 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 625.37 = 234.77 : x
  2. Step 2: Convert to fraction form
    417.20/625.37 = 234.77/x
  3. Step 3: Cross multiply
    417.20x = 625.37 × 234.77
  4. Step 4: Simplify right side
    417.20x = 146,813.81
  5. Step 5: Solve for x
    x = 146,813.81/417.20
  6. Step 6: Final answer
    x = 351.91

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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.