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Finding the Fourth Proportional to 348.20, 522.20 and 117.15

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Solution

The fourth proportional to 348.20, 522.20 and 117.15 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.20 : 522.20 = 117.15 : x
  2. Step 2: Convert to fraction form
    348.20/522.20 = 117.15/x
  3. Step 3: Cross multiply
    348.20x = 522.20 × 117.15
  4. Step 4: Simplify right side
    348.20x = 61,173.41
  5. Step 5: Solve for x
    x = 61,173.41/348.20
  6. Step 6: Final answer
    x = 175.69

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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.