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Finding the Fourth Proportional to 483.31, 724.37 and 190.51

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Solution

The fourth proportional to 483.31, 724.37 and 190.51 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.31 : 724.37 = 190.51 : x
  2. Step 2: Convert to fraction form
    483.31/724.37 = 190.51/x
  3. Step 3: Cross multiply
    483.31x = 724.37 × 190.51
  4. Step 4: Simplify right side
    483.31x = 138,001.10
  5. Step 5: Solve for x
    x = 138,001.10/483.31
  6. Step 6: Final answer
    x = 285.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.