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Finding the Fourth Proportional to 206.60, 307.72 and 173.39

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Solution

The fourth proportional to 206.60, 307.72 and 173.39 is: 258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.60 : 307.72 = 173.39 : x
  2. Step 2: Convert to fraction form
    206.60/307.72 = 173.39/x
  3. Step 3: Cross multiply
    206.60x = 307.72 × 173.39
  4. Step 4: Simplify right side
    206.60x = 53,354.25
  5. Step 5: Solve for x
    x = 53,354.25/206.60
  6. Step 6: Final answer
    x = 258.26

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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.