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Finding the Fourth Proportional to 382.23, 526.89 and 277.11

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Solution

The fourth proportional to 382.23, 526.89 and 277.11 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.23 : 526.89 = 277.11 : x
  2. Step 2: Convert to fraction form
    382.23/526.89 = 277.11/x
  3. Step 3: Cross multiply
    382.23x = 526.89 × 277.11
  4. Step 4: Simplify right side
    382.23x = 146,006.49
  5. Step 5: Solve for x
    x = 146,006.49/382.23
  6. Step 6: Final answer
    x = 381.99

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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.