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Finding the Fourth Proportional to 412.54, 619.52 and 366.37

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Solution

The fourth proportional to 412.54, 619.52 and 366.37 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 619.52 = 366.37 : x
  2. Step 2: Convert to fraction form
    412.54/619.52 = 366.37/x
  3. Step 3: Cross multiply
    412.54x = 619.52 × 366.37
  4. Step 4: Simplify right side
    412.54x = 226,970.16
  5. Step 5: Solve for x
    x = 226,970.16/412.54
  6. Step 6: Final answer
    x = 550.18

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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.