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Finding the Fourth Proportional to 211.70, 315.37 and 202.21

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Solution

The fourth proportional to 211.70, 315.37 and 202.21 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 315.37 = 202.21 : x
  2. Step 2: Convert to fraction form
    211.70/315.37 = 202.21/x
  3. Step 3: Cross multiply
    211.70x = 315.37 × 202.21
  4. Step 4: Simplify right side
    211.70x = 63,771.83
  5. Step 5: Solve for x
    x = 63,771.83/211.70
  6. Step 6: Final answer
    x = 301.24

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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.