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Finding the Fourth Proportional to 382.14, 526.86 and 277.38

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Solution

The fourth proportional to 382.14, 526.86 and 277.38 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 526.86 = 277.38 : x
  2. Step 2: Convert to fraction form
    382.14/526.86 = 277.38/x
  3. Step 3: Cross multiply
    382.14x = 526.86 × 277.38
  4. Step 4: Simplify right side
    382.14x = 146,140.43
  5. Step 5: Solve for x
    x = 146,140.43/382.14
  6. Step 6: Final answer
    x = 382.43

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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.