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Finding the Fourth Proportional to 339.47, 468.73 and 274.27

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Solution

The fourth proportional to 339.47, 468.73 and 274.27 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.47 : 468.73 = 274.27 : x
  2. Step 2: Convert to fraction form
    339.47/468.73 = 274.27/x
  3. Step 3: Cross multiply
    339.47x = 468.73 × 274.27
  4. Step 4: Simplify right side
    339.47x = 128,558.58
  5. Step 5: Solve for x
    x = 128,558.58/339.47
  6. Step 6: Final answer
    x = 378.70

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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.