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Finding the Fourth Proportional to 382.73, 528.63 and 277.65

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Solution

The fourth proportional to 382.73, 528.63 and 277.65 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 528.63 = 277.65 : x
  2. Step 2: Convert to fraction form
    382.73/528.63 = 277.65/x
  3. Step 3: Cross multiply
    382.73x = 528.63 × 277.65
  4. Step 4: Simplify right side
    382.73x = 146,774.12
  5. Step 5: Solve for x
    x = 146,774.12/382.73
  6. Step 6: Final answer
    x = 383.50

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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.