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Finding the Fourth Proportional to 340.98, 470.39 and 208.09

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Solution

The fourth proportional to 340.98, 470.39 and 208.09 is: 287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 470.39 = 208.09 : x
  2. Step 2: Convert to fraction form
    340.98/470.39 = 208.09/x
  3. Step 3: Cross multiply
    340.98x = 470.39 × 208.09
  4. Step 4: Simplify right side
    340.98x = 97,883.46
  5. Step 5: Solve for x
    x = 97,883.46/340.98
  6. Step 6: Final answer
    x = 287.07

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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.