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Finding the Fourth Proportional to 280.05, 421.83 and 254.53

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Solution

The fourth proportional to 280.05, 421.83 and 254.53 is: 383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 421.83 = 254.53 : x
  2. Step 2: Convert to fraction form
    280.05/421.83 = 254.53/x
  3. Step 3: Cross multiply
    280.05x = 421.83 × 254.53
  4. Step 4: Simplify right side
    280.05x = 107,368.39
  5. Step 5: Solve for x
    x = 107,368.39/280.05
  6. Step 6: Final answer
    x = 383.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.