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Finding the Fourth Proportional to 281.10, 420 and 275.96

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Solution

The fourth proportional to 281.10, 420 and 275.96 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.10 : 420 = 275.96 : x
  2. Step 2: Convert to fraction form
    281.10/420 = 275.96/x
  3. Step 3: Cross multiply
    281.10x = 420 × 275.96
  4. Step 4: Simplify right side
    281.10x = 115,903.20
  5. Step 5: Solve for x
    x = 115,903.20/281.10
  6. Step 6: Final answer
    x = 412.32

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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.