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Finding the Fourth Proportional to 249.58, 345.21 and 220.47

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Solution

The fourth proportional to 249.58, 345.21 and 220.47 is: 304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.58 : 345.21 = 220.47 : x
  2. Step 2: Convert to fraction form
    249.58/345.21 = 220.47/x
  3. Step 3: Cross multiply
    249.58x = 345.21 × 220.47
  4. Step 4: Simplify right side
    249.58x = 76,109.51
  5. Step 5: Solve for x
    x = 76,109.51/249.58
  6. Step 6: Final answer
    x = 304.95

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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.