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Finding the Fourth Proportional to 351.65, 485.01 and 311.81

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Solution

The fourth proportional to 351.65, 485.01 and 311.81 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.65 : 485.01 = 311.81 : x
  2. Step 2: Convert to fraction form
    351.65/485.01 = 311.81/x
  3. Step 3: Cross multiply
    351.65x = 485.01 × 311.81
  4. Step 4: Simplify right side
    351.65x = 151,228.54
  5. Step 5: Solve for x
    x = 151,228.54/351.65
  6. Step 6: Final answer
    x = 430.05

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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.