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Finding the Fourth Proportional to 320.32, 442.08 and 227.28

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Solution

The fourth proportional to 320.32, 442.08 and 227.28 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 442.08 = 227.28 : x
  2. Step 2: Convert to fraction form
    320.32/442.08 = 227.28/x
  3. Step 3: Cross multiply
    320.32x = 442.08 × 227.28
  4. Step 4: Simplify right side
    320.32x = 100,475.94
  5. Step 5: Solve for x
    x = 100,475.94/320.32
  6. Step 6: Final answer
    x = 313.67

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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.