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Finding the Fourth Proportional to 484.84, 669.36 and 361.18

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Solution

The fourth proportional to 484.84, 669.36 and 361.18 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 669.36 = 361.18 : x
  2. Step 2: Convert to fraction form
    484.84/669.36 = 361.18/x
  3. Step 3: Cross multiply
    484.84x = 669.36 × 361.18
  4. Step 4: Simplify right side
    484.84x = 241,759.44
  5. Step 5: Solve for x
    x = 241,759.44/484.84
  6. Step 6: Final answer
    x = 498.64

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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.