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Finding the Fourth Proportional to 233.49, 348.51 and 211.49

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Solution

The fourth proportional to 233.49, 348.51 and 211.49 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 348.51 = 211.49 : x
  2. Step 2: Convert to fraction form
    233.49/348.51 = 211.49/x
  3. Step 3: Cross multiply
    233.49x = 348.51 × 211.49
  4. Step 4: Simplify right side
    233.49x = 73,704.64
  5. Step 5: Solve for x
    x = 73,704.64/233.49
  6. Step 6: Final answer
    x = 315.67

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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.