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Finding the Fourth Proportional to 380.75, 524.27 and 345.56

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Solution

The fourth proportional to 380.75, 524.27 and 345.56 is: 475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 524.27 = 345.56 : x
  2. Step 2: Convert to fraction form
    380.75/524.27 = 345.56/x
  3. Step 3: Cross multiply
    380.75x = 524.27 × 345.56
  4. Step 4: Simplify right side
    380.75x = 181,162.39
  5. Step 5: Solve for x
    x = 181,162.39/380.75
  6. Step 6: Final answer
    x = 475.81

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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.