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Finding the Fourth Proportional to 348.65, 520.33 and 334.52

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Solution

The fourth proportional to 348.65, 520.33 and 334.52 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 520.33 = 334.52 : x
  2. Step 2: Convert to fraction form
    348.65/520.33 = 334.52/x
  3. Step 3: Cross multiply
    348.65x = 520.33 × 334.52
  4. Step 4: Simplify right side
    348.65x = 174,059.12
  5. Step 5: Solve for x
    x = 174,059.12/348.65
  6. Step 6: Final answer
    x = 499.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.