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Finding the Fourth Proportional to 348.04, 480.34 and 209.96

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Solution

The fourth proportional to 348.04, 480.34 and 209.96 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.04 : 480.34 = 209.96 : x
  2. Step 2: Convert to fraction form
    348.04/480.34 = 209.96/x
  3. Step 3: Cross multiply
    348.04x = 480.34 × 209.96
  4. Step 4: Simplify right side
    348.04x = 100,852.19
  5. Step 5: Solve for x
    x = 100,852.19/348.04
  6. Step 6: Final answer
    x = 289.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.