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Finding the Fourth Proportional to 205.64, 307.09 and 193.64

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Solution

The fourth proportional to 205.64, 307.09 and 193.64 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 307.09 = 193.64 : x
  2. Step 2: Convert to fraction form
    205.64/307.09 = 193.64/x
  3. Step 3: Cross multiply
    205.64x = 307.09 × 193.64
  4. Step 4: Simplify right side
    205.64x = 59,464.91
  5. Step 5: Solve for x
    x = 59,464.91/205.64
  6. Step 6: Final answer
    x = 289.17

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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.