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Finding the Fourth Proportional to 281.62, 419.95 and 262.14

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Solution

The fourth proportional to 281.62, 419.95 and 262.14 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.62 : 419.95 = 262.14 : x
  2. Step 2: Convert to fraction form
    281.62/419.95 = 262.14/x
  3. Step 3: Cross multiply
    281.62x = 419.95 × 262.14
  4. Step 4: Simplify right side
    281.62x = 110,085.69
  5. Step 5: Solve for x
    x = 110,085.69/281.62
  6. Step 6: Final answer
    x = 390.90

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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.