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Finding the Fourth Proportional to 381.44, 526.08 and 271.28

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Solution

The fourth proportional to 381.44, 526.08 and 271.28 is: 374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 526.08 = 271.28 : x
  2. Step 2: Convert to fraction form
    381.44/526.08 = 271.28/x
  3. Step 3: Cross multiply
    381.44x = 526.08 × 271.28
  4. Step 4: Simplify right side
    381.44x = 142,714.98
  5. Step 5: Solve for x
    x = 142,714.98/381.44
  6. Step 6: Final answer
    x = 374.15

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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.