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Finding the Fourth Proportional to 407.08, 609.44 and 252.54

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Solution

The fourth proportional to 407.08, 609.44 and 252.54 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 609.44 = 252.54 : x
  2. Step 2: Convert to fraction form
    407.08/609.44 = 252.54/x
  3. Step 3: Cross multiply
    407.08x = 609.44 × 252.54
  4. Step 4: Simplify right side
    407.08x = 153,907.98
  5. Step 5: Solve for x
    x = 153,907.98/407.08
  6. Step 6: Final answer
    x = 378.08

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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.