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Finding the Fourth Proportional to 308.76, 423.24 and 303.24

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Solution

The fourth proportional to 308.76, 423.24 and 303.24 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 423.24 = 303.24 : x
  2. Step 2: Convert to fraction form
    308.76/423.24 = 303.24/x
  3. Step 3: Cross multiply
    308.76x = 423.24 × 303.24
  4. Step 4: Simplify right side
    308.76x = 128,343.30
  5. Step 5: Solve for x
    x = 128,343.30/308.76
  6. Step 6: Final answer
    x = 415.67

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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.