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Finding the Fourth Proportional to 205.71, 307.06 and 190.69

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Solution

The fourth proportional to 205.71, 307.06 and 190.69 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 307.06 = 190.69 : x
  2. Step 2: Convert to fraction form
    205.71/307.06 = 190.69/x
  3. Step 3: Cross multiply
    205.71x = 307.06 × 190.69
  4. Step 4: Simplify right side
    205.71x = 58,552.03
  5. Step 5: Solve for x
    x = 58,552.03/205.71
  6. Step 6: Final answer
    x = 284.64

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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.