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Finding the Fourth Proportional to 209.61, 312.06 and 208.59

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Solution

The fourth proportional to 209.61, 312.06 and 208.59 is: 310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 312.06 = 208.59 : x
  2. Step 2: Convert to fraction form
    209.61/312.06 = 208.59/x
  3. Step 3: Cross multiply
    209.61x = 312.06 × 208.59
  4. Step 4: Simplify right side
    209.61x = 65,092.07
  5. Step 5: Solve for x
    x = 65,092.07/209.61
  6. Step 6: Final answer
    x = 310.55

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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.