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Finding the Fourth Proportional to 339.56, 468.43 and 215.41

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Solution

The fourth proportional to 339.56, 468.43 and 215.41 is: 297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.56 : 468.43 = 215.41 : x
  2. Step 2: Convert to fraction form
    339.56/468.43 = 215.41/x
  3. Step 3: Cross multiply
    339.56x = 468.43 × 215.41
  4. Step 4: Simplify right side
    339.56x = 100,904.89
  5. Step 5: Solve for x
    x = 100,904.89/339.56
  6. Step 6: Final answer
    x = 297.16

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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.