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Finding the Fourth Proportional to 351.02, 483.66 and 311.78

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Solution

The fourth proportional to 351.02, 483.66 and 311.78 is: 429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.02 : 483.66 = 311.78 : x
  2. Step 2: Convert to fraction form
    351.02/483.66 = 311.78/x
  3. Step 3: Cross multiply
    351.02x = 483.66 × 311.78
  4. Step 4: Simplify right side
    351.02x = 150,795.51
  5. Step 5: Solve for x
    x = 150,795.51/351.02
  6. Step 6: Final answer
    x = 429.59

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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.