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Finding the Fourth Proportional to 209.61, 312.93 and 192.33

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Solution

The fourth proportional to 209.61, 312.93 and 192.33 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 312.93 = 192.33 : x
  2. Step 2: Convert to fraction form
    209.61/312.93 = 192.33/x
  3. Step 3: Cross multiply
    209.61x = 312.93 × 192.33
  4. Step 4: Simplify right side
    209.61x = 60,185.83
  5. Step 5: Solve for x
    x = 60,185.83/209.61
  6. Step 6: Final answer
    x = 287.13

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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.