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Finding the Fourth Proportional to 312.32, 433.28 and 300.80

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Solution

The fourth proportional to 312.32, 433.28 and 300.80 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 433.28 = 300.80 : x
  2. Step 2: Convert to fraction form
    312.32/433.28 = 300.80/x
  3. Step 3: Cross multiply
    312.32x = 433.28 × 300.80
  4. Step 4: Simplify right side
    312.32x = 130,330.62
  5. Step 5: Solve for x
    x = 130,330.62/312.32
  6. Step 6: Final answer
    x = 417.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.