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Finding the Fourth Proportional to 312.30, 432.75 and 308.38

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Solution

The fourth proportional to 312.30, 432.75 and 308.38 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 432.75 = 308.38 : x
  2. Step 2: Convert to fraction form
    312.30/432.75 = 308.38/x
  3. Step 3: Cross multiply
    312.30x = 432.75 × 308.38
  4. Step 4: Simplify right side
    312.30x = 133,451.45
  5. Step 5: Solve for x
    x = 133,451.45/312.30
  6. Step 6: Final answer
    x = 427.32

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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.