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Finding the Fourth Proportional to 235.08, 351.36 and 214.41

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Solution

The fourth proportional to 235.08, 351.36 and 214.41 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.08 : 351.36 = 214.41 : x
  2. Step 2: Convert to fraction form
    235.08/351.36 = 214.41/x
  3. Step 3: Cross multiply
    235.08x = 351.36 × 214.41
  4. Step 4: Simplify right side
    235.08x = 75,335.10
  5. Step 5: Solve for x
    x = 75,335.10/235.08
  6. Step 6: Final answer
    x = 320.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.