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Finding the Fourth Proportional to 348.04, 479.72 and 305.92

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Solution

The fourth proportional to 348.04, 479.72 and 305.92 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.04 : 479.72 = 305.92 : x
  2. Step 2: Convert to fraction form
    348.04/479.72 = 305.92/x
  3. Step 3: Cross multiply
    348.04x = 479.72 × 305.92
  4. Step 4: Simplify right side
    348.04x = 146,755.94
  5. Step 5: Solve for x
    x = 146,755.94/348.04
  6. Step 6: Final answer
    x = 421.66

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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.