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Finding the Fourth Proportional to 375.64, 565.43 and 319.96

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Solution

The fourth proportional to 375.64, 565.43 and 319.96 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 565.43 = 319.96 : x
  2. Step 2: Convert to fraction form
    375.64/565.43 = 319.96/x
  3. Step 3: Cross multiply
    375.64x = 565.43 × 319.96
  4. Step 4: Simplify right side
    375.64x = 180,914.98
  5. Step 5: Solve for x
    x = 180,914.98/375.64
  6. Step 6: Final answer
    x = 481.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.