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Finding the Fourth Proportional to 348.74, 479.84 and 319.94

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Solution

The fourth proportional to 348.74, 479.84 and 319.94 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.74 : 479.84 = 319.94 : x
  2. Step 2: Convert to fraction form
    348.74/479.84 = 319.94/x
  3. Step 3: Cross multiply
    348.74x = 479.84 × 319.94
  4. Step 4: Simplify right side
    348.74x = 153,520.01
  5. Step 5: Solve for x
    x = 153,520.01/348.74
  6. Step 6: Final answer
    x = 440.21

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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.