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Finding the Fourth Proportional to 348.16, 522.30 and 142.75

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Solution

The fourth proportional to 348.16, 522.30 and 142.75 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 522.30 = 142.75 : x
  2. Step 2: Convert to fraction form
    348.16/522.30 = 142.75/x
  3. Step 3: Cross multiply
    348.16x = 522.30 × 142.75
  4. Step 4: Simplify right side
    348.16x = 74,558.33
  5. Step 5: Solve for x
    x = 74,558.33/348.16
  6. Step 6: Final answer
    x = 214.15

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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.