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Finding the Fourth Proportional to 340.88, 470.20 and 208.08

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Solution

The fourth proportional to 340.88, 470.20 and 208.08 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.88 : 470.20 = 208.08 : x
  2. Step 2: Convert to fraction form
    340.88/470.20 = 208.08/x
  3. Step 3: Cross multiply
    340.88x = 470.20 × 208.08
  4. Step 4: Simplify right side
    340.88x = 97,839.22
  5. Step 5: Solve for x
    x = 97,839.22/340.88
  6. Step 6: Final answer
    x = 287.02

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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.