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Finding the Fourth Proportional to 339.46, 468.47 and 206.77

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Solution

The fourth proportional to 339.46, 468.47 and 206.77 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.46 : 468.47 = 206.77 : x
  2. Step 2: Convert to fraction form
    339.46/468.47 = 206.77/x
  3. Step 3: Cross multiply
    339.46x = 468.47 × 206.77
  4. Step 4: Simplify right side
    339.46x = 96,865.54
  5. Step 5: Solve for x
    x = 96,865.54/339.46
  6. Step 6: Final answer
    x = 285.35

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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.