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Finding the Fourth Proportional to 381.75, 526.28 and 271.49

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Solution

The fourth proportional to 381.75, 526.28 and 271.49 is: 374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 526.28 = 271.49 : x
  2. Step 2: Convert to fraction form
    381.75/526.28 = 271.49/x
  3. Step 3: Cross multiply
    381.75x = 526.28 × 271.49
  4. Step 4: Simplify right side
    381.75x = 142,875.77
  5. Step 5: Solve for x
    x = 142,875.77/381.75
  6. Step 6: Final answer
    x = 374.27

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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.