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Finding the Fourth Proportional to 210.54, 314.22 and 196.86

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Solution

The fourth proportional to 210.54, 314.22 and 196.86 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 314.22 = 196.86 : x
  2. Step 2: Convert to fraction form
    210.54/314.22 = 196.86/x
  3. Step 3: Cross multiply
    210.54x = 314.22 × 196.86
  4. Step 4: Simplify right side
    210.54x = 61,857.35
  5. Step 5: Solve for x
    x = 61,857.35/210.54
  6. Step 6: Final answer
    x = 293.80

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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.