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Finding the Fourth Proportional to 239.86, 359.80 and 208.75

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Solution

The fourth proportional to 239.86, 359.80 and 208.75 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.86 : 359.80 = 208.75 : x
  2. Step 2: Convert to fraction form
    239.86/359.80 = 208.75/x
  3. Step 3: Cross multiply
    239.86x = 359.80 × 208.75
  4. Step 4: Simplify right side
    239.86x = 75,106.83
  5. Step 5: Solve for x
    x = 75,106.83/239.86
  6. Step 6: Final answer
    x = 313.13

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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.