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Finding the Fourth Proportional to 233.55, 320.04 and 225.05

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Solution

The fourth proportional to 233.55, 320.04 and 225.05 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 320.04 = 225.05 : x
  2. Step 2: Convert to fraction form
    233.55/320.04 = 225.05/x
  3. Step 3: Cross multiply
    233.55x = 320.04 × 225.05
  4. Step 4: Simplify right side
    233.55x = 72,023.88
  5. Step 5: Solve for x
    x = 72,023.88/233.55
  6. Step 6: Final answer
    x = 308.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.