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Finding the Fourth Proportional to 348.22, 519.12 and 320.81

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Solution

The fourth proportional to 348.22, 519.12 and 320.81 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.22 : 519.12 = 320.81 : x
  2. Step 2: Convert to fraction form
    348.22/519.12 = 320.81/x
  3. Step 3: Cross multiply
    348.22x = 519.12 × 320.81
  4. Step 4: Simplify right side
    348.22x = 166,538.89
  5. Step 5: Solve for x
    x = 166,538.89/348.22
  6. Step 6: Final answer
    x = 478.26

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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.