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Finding the Fourth Proportional to 484.51, 668.58 and 274.64

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Solution

The fourth proportional to 484.51, 668.58 and 274.64 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.51 : 668.58 = 274.64 : x
  2. Step 2: Convert to fraction form
    484.51/668.58 = 274.64/x
  3. Step 3: Cross multiply
    484.51x = 668.58 × 274.64
  4. Step 4: Simplify right side
    484.51x = 183,615.47
  5. Step 5: Solve for x
    x = 183,615.47/484.51
  6. Step 6: Final answer
    x = 378.98

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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.