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Finding the Fourth Proportional to 339.16, 468.01 and 189.77

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Solution

The fourth proportional to 339.16, 468.01 and 189.77 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.16 : 468.01 = 189.77 : x
  2. Step 2: Convert to fraction form
    339.16/468.01 = 189.77/x
  3. Step 3: Cross multiply
    339.16x = 468.01 × 189.77
  4. Step 4: Simplify right side
    339.16x = 88,814.26
  5. Step 5: Solve for x
    x = 88,814.26/339.16
  6. Step 6: Final answer
    x = 261.87

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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.