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Finding the Fourth Proportional to 211.07, 314.87 and 196.34

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Solution

The fourth proportional to 211.07, 314.87 and 196.34 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.07 : 314.87 = 196.34 : x
  2. Step 2: Convert to fraction form
    211.07/314.87 = 196.34/x
  3. Step 3: Cross multiply
    211.07x = 314.87 × 196.34
  4. Step 4: Simplify right side
    211.07x = 61,819.02
  5. Step 5: Solve for x
    x = 61,819.02/211.07
  6. Step 6: Final answer
    x = 292.89

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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.