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Finding the Fourth Proportional to 233.34, 347.96 and 216.62

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Solution

The fourth proportional to 233.34, 347.96 and 216.62 is: 323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 347.96 = 216.62 : x
  2. Step 2: Convert to fraction form
    233.34/347.96 = 216.62/x
  3. Step 3: Cross multiply
    233.34x = 347.96 × 216.62
  4. Step 4: Simplify right side
    233.34x = 75,372.27
  5. Step 5: Solve for x
    x = 75,372.27/233.34
  6. Step 6: Final answer
    x = 323.01

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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.