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Finding the Fourth Proportional to 351.24, 480.84 and 340.20

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Solution

The fourth proportional to 351.24, 480.84 and 340.20 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.24 : 480.84 = 340.20 : x
  2. Step 2: Convert to fraction form
    351.24/480.84 = 340.20/x
  3. Step 3: Cross multiply
    351.24x = 480.84 × 340.20
  4. Step 4: Simplify right side
    351.24x = 163,581.77
  5. Step 5: Solve for x
    x = 163,581.77/351.24
  6. Step 6: Final answer
    x = 465.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.