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Finding the Fourth Proportional to 484.45, 668.49 and 285.28

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Solution

The fourth proportional to 484.45, 668.49 and 285.28 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.45 : 668.49 = 285.28 : x
  2. Step 2: Convert to fraction form
    484.45/668.49 = 285.28/x
  3. Step 3: Cross multiply
    484.45x = 668.49 × 285.28
  4. Step 4: Simplify right side
    484.45x = 190,706.83
  5. Step 5: Solve for x
    x = 190,706.83/484.45
  6. Step 6: Final answer
    x = 393.66

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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.