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Finding the Fourth Proportional to 348.21, 522.27 and 117.09

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Solution

The fourth proportional to 348.21, 522.27 and 117.09 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.21 : 522.27 = 117.09 : x
  2. Step 2: Convert to fraction form
    348.21/522.27 = 117.09/x
  3. Step 3: Cross multiply
    348.21x = 522.27 × 117.09
  4. Step 4: Simplify right side
    348.21x = 61,152.59
  5. Step 5: Solve for x
    x = 61,152.59/348.21
  6. Step 6: Final answer
    x = 175.62

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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.