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Finding the Fourth Proportional to 210.86, 313.92 and 209.84

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Solution

The fourth proportional to 210.86, 313.92 and 209.84 is: 312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 313.92 = 209.84 : x
  2. Step 2: Convert to fraction form
    210.86/313.92 = 209.84/x
  3. Step 3: Cross multiply
    210.86x = 313.92 × 209.84
  4. Step 4: Simplify right side
    210.86x = 65,872.97
  5. Step 5: Solve for x
    x = 65,872.97/210.86
  6. Step 6: Final answer
    x = 312.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.