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Finding the Fourth Proportional to 348.84, 520.02 and 322.92

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Solution

The fourth proportional to 348.84, 520.02 and 322.92 is: 481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 520.02 = 322.92 : x
  2. Step 2: Convert to fraction form
    348.84/520.02 = 322.92/x
  3. Step 3: Cross multiply
    348.84x = 520.02 × 322.92
  4. Step 4: Simplify right side
    348.84x = 167,924.86
  5. Step 5: Solve for x
    x = 167,924.86/348.84
  6. Step 6: Final answer
    x = 481.38

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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.