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Finding the Fourth Proportional to 233.32, 321.99 and 189.16

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Solution

The fourth proportional to 233.32, 321.99 and 189.16 is: 261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.32 : 321.99 = 189.16 : x
  2. Step 2: Convert to fraction form
    233.32/321.99 = 189.16/x
  3. Step 3: Cross multiply
    233.32x = 321.99 × 189.16
  4. Step 4: Simplify right side
    233.32x = 60,907.63
  5. Step 5: Solve for x
    x = 60,907.63/233.32
  6. Step 6: Final answer
    x = 261.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.