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Finding the Fourth Proportional to 348.40, 522.62 and 142.83

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Solution

The fourth proportional to 348.40, 522.62 and 142.83 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 522.62 = 142.83 : x
  2. Step 2: Convert to fraction form
    348.40/522.62 = 142.83/x
  3. Step 3: Cross multiply
    348.40x = 522.62 × 142.83
  4. Step 4: Simplify right side
    348.40x = 74,643.14
  5. Step 5: Solve for x
    x = 74,643.14/348.40
  6. Step 6: Final answer
    x = 214.24

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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.