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Finding the Fourth Proportional to 281.98, 424.78 and 245.80

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Solution

The fourth proportional to 281.98, 424.78 and 245.80 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 424.78 = 245.80 : x
  2. Step 2: Convert to fraction form
    281.98/424.78 = 245.80/x
  3. Step 3: Cross multiply
    281.98x = 424.78 × 245.80
  4. Step 4: Simplify right side
    281.98x = 104,410.92
  5. Step 5: Solve for x
    x = 104,410.92/281.98
  6. Step 6: Final answer
    x = 370.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.