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Finding the Fourth Proportional to 235.14, 353.46 and 218.23

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Solution

The fourth proportional to 235.14, 353.46 and 218.23 is: 328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 353.46 = 218.23 : x
  2. Step 2: Convert to fraction form
    235.14/353.46 = 218.23/x
  3. Step 3: Cross multiply
    235.14x = 353.46 × 218.23
  4. Step 4: Simplify right side
    235.14x = 77,133.81
  5. Step 5: Solve for x
    x = 77,133.81/235.14
  6. Step 6: Final answer
    x = 328.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.