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Finding the Fourth Proportional to 281.40, 420.16 and 262.68

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Solution

The fourth proportional to 281.40, 420.16 and 262.68 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 420.16 = 262.68 : x
  2. Step 2: Convert to fraction form
    281.40/420.16 = 262.68/x
  3. Step 3: Cross multiply
    281.40x = 420.16 × 262.68
  4. Step 4: Simplify right side
    281.40x = 110,367.63
  5. Step 5: Solve for x
    x = 110,367.63/281.40
  6. Step 6: Final answer
    x = 392.21

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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.