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Finding the Fourth Proportional to 348.81, 520.11 and 322.23

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Solution

The fourth proportional to 348.81, 520.11 and 322.23 is: 480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.81 : 520.11 = 322.23 : x
  2. Step 2: Convert to fraction form
    348.81/520.11 = 322.23/x
  3. Step 3: Cross multiply
    348.81x = 520.11 × 322.23
  4. Step 4: Simplify right side
    348.81x = 167,595.05
  5. Step 5: Solve for x
    x = 167,595.05/348.81
  6. Step 6: Final answer
    x = 480.48

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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.