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Finding the Fourth Proportional to 354.84, 486.27 and 320.28

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Solution

The fourth proportional to 354.84, 486.27 and 320.28 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.84 : 486.27 = 320.28 : x
  2. Step 2: Convert to fraction form
    354.84/486.27 = 320.28/x
  3. Step 3: Cross multiply
    354.84x = 486.27 × 320.28
  4. Step 4: Simplify right side
    354.84x = 155,742.56
  5. Step 5: Solve for x
    x = 155,742.56/354.84
  6. Step 6: Final answer
    x = 438.91

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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.