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Finding the Fourth Proportional to 348.18, 522.27 and 337.65

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Solution

The fourth proportional to 348.18, 522.27 and 337.65 is: 506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.18 : 522.27 = 337.65 : x
  2. Step 2: Convert to fraction form
    348.18/522.27 = 337.65/x
  3. Step 3: Cross multiply
    348.18x = 522.27 × 337.65
  4. Step 4: Simplify right side
    348.18x = 176,344.47
  5. Step 5: Solve for x
    x = 176,344.47/348.18
  6. Step 6: Final answer
    x = 506.48

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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.