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Finding the Fourth Proportional to 381.33, 525.57 and 310.94

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Solution

The fourth proportional to 381.33, 525.57 and 310.94 is: 428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.33 : 525.57 = 310.94 : x
  2. Step 2: Convert to fraction form
    381.33/525.57 = 310.94/x
  3. Step 3: Cross multiply
    381.33x = 525.57 × 310.94
  4. Step 4: Simplify right side
    381.33x = 163,420.74
  5. Step 5: Solve for x
    x = 163,420.74/381.33
  6. Step 6: Final answer
    x = 428.55

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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.