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Finding the Fourth Proportional to 205.91, 307.55 and 186.36

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Solution

The fourth proportional to 205.91, 307.55 and 186.36 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 307.55 = 186.36 : x
  2. Step 2: Convert to fraction form
    205.91/307.55 = 186.36/x
  3. Step 3: Cross multiply
    205.91x = 307.55 × 186.36
  4. Step 4: Simplify right side
    205.91x = 57,314.87
  5. Step 5: Solve for x
    x = 57,314.87/205.91
  6. Step 6: Final answer
    x = 278.35

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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.