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Finding the Fourth Proportional to 239.91, 357.75 and 205.89

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Solution

The fourth proportional to 239.91, 357.75 and 205.89 is: 307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.91 : 357.75 = 205.89 : x
  2. Step 2: Convert to fraction form
    239.91/357.75 = 205.89/x
  3. Step 3: Cross multiply
    239.91x = 357.75 × 205.89
  4. Step 4: Simplify right side
    239.91x = 73,657.15
  5. Step 5: Solve for x
    x = 73,657.15/239.91
  6. Step 6: Final answer
    x = 307.02

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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.