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Finding the Fourth Proportional to 348.92, 525.13 and 262.70

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Solution

The fourth proportional to 348.92, 525.13 and 262.70 is: 395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.92 : 525.13 = 262.70 : x
  2. Step 2: Convert to fraction form
    348.92/525.13 = 262.70/x
  3. Step 3: Cross multiply
    348.92x = 525.13 × 262.70
  4. Step 4: Simplify right side
    348.92x = 137,951.65
  5. Step 5: Solve for x
    x = 137,951.65/348.92
  6. Step 6: Final answer
    x = 395.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.