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Finding the Fourth Proportional to 340.92, 470.40 and 208.20

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Solution

The fourth proportional to 340.92, 470.40 and 208.20 is: 287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 470.40 = 208.20 : x
  2. Step 2: Convert to fraction form
    340.92/470.40 = 208.20/x
  3. Step 3: Cross multiply
    340.92x = 470.40 × 208.20
  4. Step 4: Simplify right side
    340.92x = 97,937.28
  5. Step 5: Solve for x
    x = 97,937.28/340.92
  6. Step 6: Final answer
    x = 287.27

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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.