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Finding the Fourth Proportional to 233.47, 321.91 and 178.30

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Solution

The fourth proportional to 233.47, 321.91 and 178.30 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 321.91 = 178.30 : x
  2. Step 2: Convert to fraction form
    233.47/321.91 = 178.30/x
  3. Step 3: Cross multiply
    233.47x = 321.91 × 178.30
  4. Step 4: Simplify right side
    233.47x = 57,396.55
  5. Step 5: Solve for x
    x = 57,396.55/233.47
  6. Step 6: Final answer
    x = 245.84

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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.