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Finding the Fourth Proportional to 351.06, 523.52 and 307.98

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Solution

The fourth proportional to 351.06, 523.52 and 307.98 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.06 : 523.52 = 307.98 : x
  2. Step 2: Convert to fraction form
    351.06/523.52 = 307.98/x
  3. Step 3: Cross multiply
    351.06x = 523.52 × 307.98
  4. Step 4: Simplify right side
    351.06x = 161,232.15
  5. Step 5: Solve for x
    x = 161,232.15/351.06
  6. Step 6: Final answer
    x = 459.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.