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Finding the Fourth Proportional to 610.20, 842.13 and 348.12

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Solution

The fourth proportional to 610.20, 842.13 and 348.12 is: 480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 842.13 = 348.12 : x
  2. Step 2: Convert to fraction form
    610.20/842.13 = 348.12/x
  3. Step 3: Cross multiply
    610.20x = 842.13 × 348.12
  4. Step 4: Simplify right side
    610.20x = 293,162.30
  5. Step 5: Solve for x
    x = 293,162.30/610.20
  6. Step 6: Final answer
    x = 480.44

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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.