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Finding the Fourth Proportional to 618.25, 853.19 and 342.25

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Solution

The fourth proportional to 618.25, 853.19 and 342.25 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.25 : 853.19 = 342.25 : x
  2. Step 2: Convert to fraction form
    618.25/853.19 = 342.25/x
  3. Step 3: Cross multiply
    618.25x = 853.19 × 342.25
  4. Step 4: Simplify right side
    618.25x = 292,002.57
  5. Step 5: Solve for x
    x = 292,002.57/618.25
  6. Step 6: Final answer
    x = 472.31

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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.