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Finding the Fourth Proportional to 348.09, 522.74 and 309.14

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Solution

The fourth proportional to 348.09, 522.74 and 309.14 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.09 : 522.74 = 309.14 : x
  2. Step 2: Convert to fraction form
    348.09/522.74 = 309.14/x
  3. Step 3: Cross multiply
    348.09x = 522.74 × 309.14
  4. Step 4: Simplify right side
    348.09x = 161,595.68
  5. Step 5: Solve for x
    x = 161,595.68/348.09
  6. Step 6: Final answer
    x = 464.23

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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.