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Finding the Fourth Proportional to 208.63, 310.94 and 199.59

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Solution

The fourth proportional to 208.63, 310.94 and 199.59 is: 297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 310.94 = 199.59 : x
  2. Step 2: Convert to fraction form
    208.63/310.94 = 199.59/x
  3. Step 3: Cross multiply
    208.63x = 310.94 × 199.59
  4. Step 4: Simplify right side
    208.63x = 62,060.51
  5. Step 5: Solve for x
    x = 62,060.51/208.63
  6. Step 6: Final answer
    x = 297.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.