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Finding the Fourth Proportional to 207.61, 309.95 and 190.33

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Solution

The fourth proportional to 207.61, 309.95 and 190.33 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 309.95 = 190.33 : x
  2. Step 2: Convert to fraction form
    207.61/309.95 = 190.33/x
  3. Step 3: Cross multiply
    207.61x = 309.95 × 190.33
  4. Step 4: Simplify right side
    207.61x = 58,992.78
  5. Step 5: Solve for x
    x = 58,992.78/207.61
  6. Step 6: Final answer
    x = 284.15

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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.