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Finding the Fourth Proportional to 207.03, 309.93 and 137.49

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Solution

The fourth proportional to 207.03, 309.93 and 137.49 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.03 : 309.93 = 137.49 : x
  2. Step 2: Convert to fraction form
    207.03/309.93 = 137.49/x
  3. Step 3: Cross multiply
    207.03x = 309.93 × 137.49
  4. Step 4: Simplify right side
    207.03x = 42,612.28
  5. Step 5: Solve for x
    x = 42,612.28/207.03
  6. Step 6: Final answer
    x = 205.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.