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Finding the Fourth Proportional to 233.58, 348.71 and 218.09

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Solution

The fourth proportional to 233.58, 348.71 and 218.09 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.58 : 348.71 = 218.09 : x
  2. Step 2: Convert to fraction form
    233.58/348.71 = 218.09/x
  3. Step 3: Cross multiply
    233.58x = 348.71 × 218.09
  4. Step 4: Simplify right side
    233.58x = 76,049.95
  5. Step 5: Solve for x
    x = 76,049.95/233.58
  6. Step 6: Final answer
    x = 325.58

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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.