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Finding the Fourth Proportional to 412.54, 618.38 and 239.54

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Solution

The fourth proportional to 412.54, 618.38 and 239.54 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 618.38 = 239.54 : x
  2. Step 2: Convert to fraction form
    412.54/618.38 = 239.54/x
  3. Step 3: Cross multiply
    412.54x = 618.38 × 239.54
  4. Step 4: Simplify right side
    412.54x = 148,126.75
  5. Step 5: Solve for x
    x = 148,126.75/412.54
  6. Step 6: Final answer
    x = 359.06

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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.