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Finding the Fourth Proportional to 281.43, 420.28 and 240.52

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Solution

The fourth proportional to 281.43, 420.28 and 240.52 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.43 : 420.28 = 240.52 : x
  2. Step 2: Convert to fraction form
    281.43/420.28 = 240.52/x
  3. Step 3: Cross multiply
    281.43x = 420.28 × 240.52
  4. Step 4: Simplify right side
    281.43x = 101,085.75
  5. Step 5: Solve for x
    x = 101,085.75/281.43
  6. Step 6: Final answer
    x = 359.19

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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.