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Finding the Fourth Proportional to 348.85, 521.09 and 347.23

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Solution

The fourth proportional to 348.85, 521.09 and 347.23 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.85 : 521.09 = 347.23 : x
  2. Step 2: Convert to fraction form
    348.85/521.09 = 347.23/x
  3. Step 3: Cross multiply
    348.85x = 521.09 × 347.23
  4. Step 4: Simplify right side
    348.85x = 180,938.08
  5. Step 5: Solve for x
    x = 180,938.08/348.85
  6. Step 6: Final answer
    x = 518.67

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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.