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Finding the Fourth Proportional to 210.63, 314.43 and 196.86

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Solution

The fourth proportional to 210.63, 314.43 and 196.86 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.63 : 314.43 = 196.86 : x
  2. Step 2: Convert to fraction form
    210.63/314.43 = 196.86/x
  3. Step 3: Cross multiply
    210.63x = 314.43 × 196.86
  4. Step 4: Simplify right side
    210.63x = 61,898.69
  5. Step 5: Solve for x
    x = 61,898.69/210.63
  6. Step 6: Final answer
    x = 293.87

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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.