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Finding the Fourth Proportional to 282.76, 421.74 and 277.90

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Solution

The fourth proportional to 282.76, 421.74 and 277.90 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 421.74 = 277.90 : x
  2. Step 2: Convert to fraction form
    282.76/421.74 = 277.90/x
  3. Step 3: Cross multiply
    282.76x = 421.74 × 277.90
  4. Step 4: Simplify right side
    282.76x = 117,201.55
  5. Step 5: Solve for x
    x = 117,201.55/282.76
  6. Step 6: Final answer
    x = 414.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.