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Finding the Fourth Proportional to 417.25, 624.95 and 234.24

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Solution

The fourth proportional to 417.25, 624.95 and 234.24 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.25 : 624.95 = 234.24 : x
  2. Step 2: Convert to fraction form
    417.25/624.95 = 234.24/x
  3. Step 3: Cross multiply
    417.25x = 624.95 × 234.24
  4. Step 4: Simplify right side
    417.25x = 146,388.29
  5. Step 5: Solve for x
    x = 146,388.29/417.25
  6. Step 6: Final answer
    x = 350.84

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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.