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Finding the Fourth Proportional to 281.55, 419.66 and 259.68

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Solution

The fourth proportional to 281.55, 419.66 and 259.68 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.55 : 419.66 = 259.68 : x
  2. Step 2: Convert to fraction form
    281.55/419.66 = 259.68/x
  3. Step 3: Cross multiply
    281.55x = 419.66 × 259.68
  4. Step 4: Simplify right side
    281.55x = 108,977.31
  5. Step 5: Solve for x
    x = 108,977.31/281.55
  6. Step 6: Final answer
    x = 387.06

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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.