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Finding the Fourth Proportional to 481.90, 665.40 and 342.58

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Solution

The fourth proportional to 481.90, 665.40 and 342.58 is: 473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.90 : 665.40 = 342.58 : x
  2. Step 2: Convert to fraction form
    481.90/665.40 = 342.58/x
  3. Step 3: Cross multiply
    481.90x = 665.40 × 342.58
  4. Step 4: Simplify right side
    481.90x = 227,952.73
  5. Step 5: Solve for x
    x = 227,952.73/481.90
  6. Step 6: Final answer
    x = 473.03

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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.