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Finding the Fourth Proportional to 308.12, 427.37 and 297.70

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Solution

The fourth proportional to 308.12, 427.37 and 297.70 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 427.37 = 297.70 : x
  2. Step 2: Convert to fraction form
    308.12/427.37 = 297.70/x
  3. Step 3: Cross multiply
    308.12x = 427.37 × 297.70
  4. Step 4: Simplify right side
    308.12x = 127,225.49
  5. Step 5: Solve for x
    x = 127,225.49/308.12
  6. Step 6: Final answer
    x = 412.91

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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.