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Finding the Fourth Proportional to 218.69, 302.50 and 208.97

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Solution

The fourth proportional to 218.69, 302.50 and 208.97 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 302.50 = 208.97 : x
  2. Step 2: Convert to fraction form
    218.69/302.50 = 208.97/x
  3. Step 3: Cross multiply
    218.69x = 302.50 × 208.97
  4. Step 4: Simplify right side
    218.69x = 63,213.43
  5. Step 5: Solve for x
    x = 63,213.43/218.69
  6. Step 6: Final answer
    x = 289.05

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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.