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Finding the Fourth Proportional to 209.90, 312.68 and 206.46

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Solution

The fourth proportional to 209.90, 312.68 and 206.46 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.90 : 312.68 = 206.46 : x
  2. Step 2: Convert to fraction form
    209.90/312.68 = 206.46/x
  3. Step 3: Cross multiply
    209.90x = 312.68 × 206.46
  4. Step 4: Simplify right side
    209.90x = 64,554.88
  5. Step 5: Solve for x
    x = 64,554.88/209.90
  6. Step 6: Final answer
    x = 307.56

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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.