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Finding the Fourth Proportional to 281.69, 420.41 and 258.45

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Solution

The fourth proportional to 281.69, 420.41 and 258.45 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.69 : 420.41 = 258.45 : x
  2. Step 2: Convert to fraction form
    281.69/420.41 = 258.45/x
  3. Step 3: Cross multiply
    281.69x = 420.41 × 258.45
  4. Step 4: Simplify right side
    281.69x = 108,653.67
  5. Step 5: Solve for x
    x = 108,653.67/281.69
  6. Step 6: Final answer
    x = 385.73

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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.