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Finding the Fourth Proportional to 206.26, 307.45 and 194.51

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Solution

The fourth proportional to 206.26, 307.45 and 194.51 is: 289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 307.45 = 194.51 : x
  2. Step 2: Convert to fraction form
    206.26/307.45 = 194.51/x
  3. Step 3: Cross multiply
    206.26x = 307.45 × 194.51
  4. Step 4: Simplify right side
    206.26x = 59,802.10
  5. Step 5: Solve for x
    x = 59,802.10/206.26
  6. Step 6: Final answer
    x = 289.94

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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.