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Finding the Fourth Proportional to 339.15, 468 and 189.75

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Solution

The fourth proportional to 339.15, 468 and 189.75 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.15 : 468 = 189.75 : x
  2. Step 2: Convert to fraction form
    339.15/468 = 189.75/x
  3. Step 3: Cross multiply
    339.15x = 468 × 189.75
  4. Step 4: Simplify right side
    339.15x = 88,803
  5. Step 5: Solve for x
    x = 88,803/339.15
  6. Step 6: Final answer
    x = 261.84

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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.