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Finding the Fourth Proportional to 233.63, 348.38 and 216.89

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Solution

The fourth proportional to 233.63, 348.38 and 216.89 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 348.38 = 216.89 : x
  2. Step 2: Convert to fraction form
    233.63/348.38 = 216.89/x
  3. Step 3: Cross multiply
    233.63x = 348.38 × 216.89
  4. Step 4: Simplify right side
    233.63x = 75,557.31
  5. Step 5: Solve for x
    x = 75,557.31/233.63
  6. Step 6: Final answer
    x = 323.41

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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.