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Finding the Fourth Proportional to 239.06, 357.89 and 206.46

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Solution

The fourth proportional to 239.06, 357.89 and 206.46 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.06 : 357.89 = 206.46 : x
  2. Step 2: Convert to fraction form
    239.06/357.89 = 206.46/x
  3. Step 3: Cross multiply
    239.06x = 357.89 × 206.46
  4. Step 4: Simplify right side
    239.06x = 73,888.94
  5. Step 5: Solve for x
    x = 73,888.94/239.06
  6. Step 6: Final answer
    x = 309.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.