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Finding the Fourth Proportional to 211.35, 315.67 and 162.60

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Solution

The fourth proportional to 211.35, 315.67 and 162.60 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.35 : 315.67 = 162.60 : x
  2. Step 2: Convert to fraction form
    211.35/315.67 = 162.60/x
  3. Step 3: Cross multiply
    211.35x = 315.67 × 162.60
  4. Step 4: Simplify right side
    211.35x = 51,327.94
  5. Step 5: Solve for x
    x = 51,327.94/211.35
  6. Step 6: Final answer
    x = 242.86

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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.