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Finding the Fourth Proportional to 348.26, 480.21 and 305.06

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Solution

The fourth proportional to 348.26, 480.21 and 305.06 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 480.21 = 305.06 : x
  2. Step 2: Convert to fraction form
    348.26/480.21 = 305.06/x
  3. Step 3: Cross multiply
    348.26x = 480.21 × 305.06
  4. Step 4: Simplify right side
    348.26x = 146,492.86
  5. Step 5: Solve for x
    x = 146,492.86/348.26
  6. Step 6: Final answer
    x = 420.64

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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.