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Finding the Fourth Proportional to 211.59, 315.18 and 202.23

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Solution

The fourth proportional to 211.59, 315.18 and 202.23 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.59 : 315.18 = 202.23 : x
  2. Step 2: Convert to fraction form
    211.59/315.18 = 202.23/x
  3. Step 3: Cross multiply
    211.59x = 315.18 × 202.23
  4. Step 4: Simplify right side
    211.59x = 63,738.85
  5. Step 5: Solve for x
    x = 63,738.85/211.59
  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.