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Finding the Fourth Proportional to 348.51, 481.64 and 311.61

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Solution

The fourth proportional to 348.51, 481.64 and 311.61 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.51 : 481.64 = 311.61 : x
  2. Step 2: Convert to fraction form
    348.51/481.64 = 311.61/x
  3. Step 3: Cross multiply
    348.51x = 481.64 × 311.61
  4. Step 4: Simplify right side
    348.51x = 150,082.28
  5. Step 5: Solve for x
    x = 150,082.28/348.51
  6. Step 6: Final answer
    x = 430.64

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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.