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Finding the Fourth Proportional to 412.24, 618.34 and 339.88

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Solution

The fourth proportional to 412.24, 618.34 and 339.88 is: 509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 618.34 = 339.88 : x
  2. Step 2: Convert to fraction form
    412.24/618.34 = 339.88/x
  3. Step 3: Cross multiply
    412.24x = 618.34 × 339.88
  4. Step 4: Simplify right side
    412.24x = 210,161.40
  5. Step 5: Solve for x
    x = 210,161.40/412.24
  6. Step 6: Final answer
    x = 509.80

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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.