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Finding the Fourth Proportional to 610.19, 842.09 and 348.20

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Solution

The fourth proportional to 610.19, 842.09 and 348.20 is: 480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.19 : 842.09 = 348.20 : x
  2. Step 2: Convert to fraction form
    610.19/842.09 = 348.20/x
  3. Step 3: Cross multiply
    610.19x = 842.09 × 348.20
  4. Step 4: Simplify right side
    610.19x = 293,215.74
  5. Step 5: Solve for x
    x = 293,215.74/610.19
  6. Step 6: Final answer
    x = 480.53

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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.