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Finding the Fourth Proportional to 211.03, 314.94 and 187.97

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Solution

The fourth proportional to 211.03, 314.94 and 187.97 is: 280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.03 : 314.94 = 187.97 : x
  2. Step 2: Convert to fraction form
    211.03/314.94 = 187.97/x
  3. Step 3: Cross multiply
    211.03x = 314.94 × 187.97
  4. Step 4: Simplify right side
    211.03x = 59,197.52
  5. Step 5: Solve for x
    x = 59,197.52/211.03
  6. Step 6: Final answer
    x = 280.51

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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.