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Finding the Fourth Proportional to 381.14, 525.93 and 322.82

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Solution

The fourth proportional to 381.14, 525.93 and 322.82 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 525.93 = 322.82 : x
  2. Step 2: Convert to fraction form
    381.14/525.93 = 322.82/x
  3. Step 3: Cross multiply
    381.14x = 525.93 × 322.82
  4. Step 4: Simplify right side
    381.14x = 169,780.72
  5. Step 5: Solve for x
    x = 169,780.72/381.14
  6. Step 6: Final answer
    x = 445.46

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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.