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Finding the Fourth Proportional to 381.30, 525.86 and 274.72

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Solution

The fourth proportional to 381.30, 525.86 and 274.72 is: 378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 525.86 = 274.72 : x
  2. Step 2: Convert to fraction form
    381.30/525.86 = 274.72/x
  3. Step 3: Cross multiply
    381.30x = 525.86 × 274.72
  4. Step 4: Simplify right side
    381.30x = 144,464.26
  5. Step 5: Solve for x
    x = 144,464.26/381.30
  6. Step 6: Final answer
    x = 378.87

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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.