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Finding the Fourth Proportional to 281.86, 420.30 and 262.38

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Solution

The fourth proportional to 281.86, 420.30 and 262.38 is: 391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.86 : 420.30 = 262.38 : x
  2. Step 2: Convert to fraction form
    281.86/420.30 = 262.38/x
  3. Step 3: Cross multiply
    281.86x = 420.30 × 262.38
  4. Step 4: Simplify right side
    281.86x = 110,279.89
  5. Step 5: Solve for x
    x = 110,279.89/281.86
  6. Step 6: Final answer
    x = 391.26

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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.