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Finding the Fourth Proportional to 211.47, 315.88 and 163.47

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Solution

The fourth proportional to 211.47, 315.88 and 163.47 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.47 : 315.88 = 163.47 : x
  2. Step 2: Convert to fraction form
    211.47/315.88 = 163.47/x
  3. Step 3: Cross multiply
    211.47x = 315.88 × 163.47
  4. Step 4: Simplify right side
    211.47x = 51,636.49
  5. Step 5: Solve for x
    x = 51,636.49/211.47
  6. Step 6: Final answer
    x = 244.18

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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.