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Finding the Fourth Proportional to 312.06, 430.74 and 195.69

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Solution

The fourth proportional to 312.06, 430.74 and 195.69 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 430.74 = 195.69 : x
  2. Step 2: Convert to fraction form
    312.06/430.74 = 195.69/x
  3. Step 3: Cross multiply
    312.06x = 430.74 × 195.69
  4. Step 4: Simplify right side
    312.06x = 84,291.51
  5. Step 5: Solve for x
    x = 84,291.51/312.06
  6. Step 6: Final answer
    x = 270.11

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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.