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Finding the Fourth Proportional to 233.46, 320.12 and 225.70

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Solution

The fourth proportional to 233.46, 320.12 and 225.70 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 320.12 = 225.70 : x
  2. Step 2: Convert to fraction form
    233.46/320.12 = 225.70/x
  3. Step 3: Cross multiply
    233.46x = 320.12 × 225.70
  4. Step 4: Simplify right side
    233.46x = 72,251.08
  5. Step 5: Solve for x
    x = 72,251.08/233.46
  6. Step 6: Final answer
    x = 309.48

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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.