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Finding the Fourth Proportional to 610.36, 842.30 and 330.60

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Solution

The fourth proportional to 610.36, 842.30 and 330.60 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.36 : 842.30 = 330.60 : x
  2. Step 2: Convert to fraction form
    610.36/842.30 = 330.60/x
  3. Step 3: Cross multiply
    610.36x = 842.30 × 330.60
  4. Step 4: Simplify right side
    610.36x = 278,460.81
  5. Step 5: Solve for x
    x = 278,460.81/610.36
  6. Step 6: Final answer
    x = 456.22

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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.