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Finding the Fourth Proportional to 481.98, 665.47 and 369.76

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Solution

The fourth proportional to 481.98, 665.47 and 369.76 is: 510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.98 : 665.47 = 369.76 : x
  2. Step 2: Convert to fraction form
    481.98/665.47 = 369.76/x
  3. Step 3: Cross multiply
    481.98x = 665.47 × 369.76
  4. Step 4: Simplify right side
    481.98x = 246,061.84
  5. Step 5: Solve for x
    x = 246,061.84/481.98
  6. Step 6: Final answer
    x = 510.52

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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.