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Finding the Fourth Proportional to 281.56, 419.59 and 278.83

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Solution

The fourth proportional to 281.56, 419.59 and 278.83 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 419.59 = 278.83 : x
  2. Step 2: Convert to fraction form
    281.56/419.59 = 278.83/x
  3. Step 3: Cross multiply
    281.56x = 419.59 × 278.83
  4. Step 4: Simplify right side
    281.56x = 116,994.28
  5. Step 5: Solve for x
    x = 116,994.28/281.56
  6. Step 6: Final answer
    x = 415.52

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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.