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Finding the Fourth Proportional to 282.45, 391.55 and 277.40

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Solution

The fourth proportional to 282.45, 391.55 and 277.40 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 391.55 = 277.40 : x
  2. Step 2: Convert to fraction form
    282.45/391.55 = 277.40/x
  3. Step 3: Cross multiply
    282.45x = 391.55 × 277.40
  4. Step 4: Simplify right side
    282.45x = 108,612.63
  5. Step 5: Solve for x
    x = 108,612.63/282.45
  6. Step 6: Final answer
    x = 384.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.