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Finding the Fourth Proportional to 233.12, 320.78 and 227.72

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Solution

The fourth proportional to 233.12, 320.78 and 227.72 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 320.78 = 227.72 : x
  2. Step 2: Convert to fraction form
    233.12/320.78 = 227.72/x
  3. Step 3: Cross multiply
    233.12x = 320.78 × 227.72
  4. Step 4: Simplify right side
    233.12x = 73,048.02
  5. Step 5: Solve for x
    x = 73,048.02/233.12
  6. Step 6: Final answer
    x = 313.35

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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.