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Finding the Fourth Proportional to 612.24, 844.84 and 350.20

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Solution

The fourth proportional to 612.24, 844.84 and 350.20 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 844.84 = 350.20 : x
  2. Step 2: Convert to fraction form
    612.24/844.84 = 350.20/x
  3. Step 3: Cross multiply
    612.24x = 844.84 × 350.20
  4. Step 4: Simplify right side
    612.24x = 295,862.97
  5. Step 5: Solve for x
    x = 295,862.97/612.24
  6. Step 6: Final answer
    x = 483.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.