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Finding the Fourth Proportional to 208.44, 310.68 and 207.72

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Solution

The fourth proportional to 208.44, 310.68 and 207.72 is: 309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 310.68 = 207.72 : x
  2. Step 2: Convert to fraction form
    208.44/310.68 = 207.72/x
  3. Step 3: Cross multiply
    208.44x = 310.68 × 207.72
  4. Step 4: Simplify right side
    208.44x = 64,534.45
  5. Step 5: Solve for x
    x = 64,534.45/208.44
  6. Step 6: Final answer
    x = 309.61

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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.