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Finding the Fourth Proportional to 281.96, 420.23 and 279.72

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Solution

The fourth proportional to 281.96, 420.23 and 279.72 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.96 : 420.23 = 279.72 : x
  2. Step 2: Convert to fraction form
    281.96/420.23 = 279.72/x
  3. Step 3: Cross multiply
    281.96x = 420.23 × 279.72
  4. Step 4: Simplify right side
    281.96x = 117,546.74
  5. Step 5: Solve for x
    x = 117,546.74/281.96
  6. Step 6: Final answer
    x = 416.89

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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.