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Finding the Fourth Proportional to 205.94, 307.40 and 189.72

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Solution

The fourth proportional to 205.94, 307.40 and 189.72 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 307.40 = 189.72 : x
  2. Step 2: Convert to fraction form
    205.94/307.40 = 189.72/x
  3. Step 3: Cross multiply
    205.94x = 307.40 × 189.72
  4. Step 4: Simplify right side
    205.94x = 58,319.93
  5. Step 5: Solve for x
    x = 58,319.93/205.94
  6. Step 6: Final answer
    x = 283.19

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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.