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Finding the Fourth Proportional to 538.56, 742.70 and 351.98

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Solution

The fourth proportional to 538.56, 742.70 and 351.98 is: 485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 742.70 = 351.98 : x
  2. Step 2: Convert to fraction form
    538.56/742.70 = 351.98/x
  3. Step 3: Cross multiply
    538.56x = 742.70 × 351.98
  4. Step 4: Simplify right side
    538.56x = 261,415.55
  5. Step 5: Solve for x
    x = 261,415.55/538.56
  6. Step 6: Final answer
    x = 485.40

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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.