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Finding the Fourth Proportional to 233.50, 321.30 and 225.52

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Solution

The fourth proportional to 233.50, 321.30 and 225.52 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 321.30 = 225.52 : x
  2. Step 2: Convert to fraction form
    233.50/321.30 = 225.52/x
  3. Step 3: Cross multiply
    233.50x = 321.30 × 225.52
  4. Step 4: Simplify right side
    233.50x = 72,459.58
  5. Step 5: Solve for x
    x = 72,459.58/233.50
  6. Step 6: Final answer
    x = 310.32

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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.