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Finding the Fourth Proportional to 211.55, 293.43 and 205.93

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Solution

The fourth proportional to 211.55, 293.43 and 205.93 is: 285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.55 : 293.43 = 205.93 : x
  2. Step 2: Convert to fraction form
    211.55/293.43 = 205.93/x
  3. Step 3: Cross multiply
    211.55x = 293.43 × 205.93
  4. Step 4: Simplify right side
    211.55x = 60,423.54
  5. Step 5: Solve for x
    x = 60,423.54/211.55
  6. Step 6: Final answer
    x = 285.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.