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Finding the Fourth Proportional to 484.42, 668.50 and 274.61

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Solution

The fourth proportional to 484.42, 668.50 and 274.61 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 668.50 = 274.61 : x
  2. Step 2: Convert to fraction form
    484.42/668.50 = 274.61/x
  3. Step 3: Cross multiply
    484.42x = 668.50 × 274.61
  4. Step 4: Simplify right side
    484.42x = 183,576.79
  5. Step 5: Solve for x
    x = 183,576.79/484.42
  6. Step 6: Final answer
    x = 378.96

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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.