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Finding the Fourth Proportional to 218.07, 299.63 and 208.53

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Solution

The fourth proportional to 218.07, 299.63 and 208.53 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 299.63 = 208.53 : x
  2. Step 2: Convert to fraction form
    218.07/299.63 = 208.53/x
  3. Step 3: Cross multiply
    218.07x = 299.63 × 208.53
  4. Step 4: Simplify right side
    218.07x = 62,480.80
  5. Step 5: Solve for x
    x = 62,480.80/218.07
  6. Step 6: Final answer
    x = 286.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.