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Finding the Fourth Proportional to 281.98, 420.94 and 240.67

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Solution

The fourth proportional to 281.98, 420.94 and 240.67 is: 359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 420.94 = 240.67 : x
  2. Step 2: Convert to fraction form
    281.98/420.94 = 240.67/x
  3. Step 3: Cross multiply
    281.98x = 420.94 × 240.67
  4. Step 4: Simplify right side
    281.98x = 101,304.32
  5. Step 5: Solve for x
    x = 101,304.32/281.98
  6. Step 6: Final answer
    x = 359.27

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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.