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Finding the Fourth Proportional to 484.64, 668.88 and 274.80

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Solution

The fourth proportional to 484.64, 668.88 and 274.80 is: 379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 668.88 = 274.80 : x
  2. Step 2: Convert to fraction form
    484.64/668.88 = 274.80/x
  3. Step 3: Cross multiply
    484.64x = 668.88 × 274.80
  4. Step 4: Simplify right side
    484.64x = 183,808.22
  5. Step 5: Solve for x
    x = 183,808.22/484.64
  6. Step 6: Final answer
    x = 379.27

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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.