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Finding the Fourth Proportional to 348.65, 523.73 and 211.76

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Solution

The fourth proportional to 348.65, 523.73 and 211.76 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 523.73 = 211.76 : x
  2. Step 2: Convert to fraction form
    348.65/523.73 = 211.76/x
  3. Step 3: Cross multiply
    348.65x = 523.73 × 211.76
  4. Step 4: Simplify right side
    348.65x = 110,905.06
  5. Step 5: Solve for x
    x = 110,905.06/348.65
  6. Step 6: Final answer
    x = 318.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.