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Finding the Fourth Proportional to 281.94, 420.46 and 258.31

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Solution

The fourth proportional to 281.94, 420.46 and 258.31 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 420.46 = 258.31 : x
  2. Step 2: Convert to fraction form
    281.94/420.46 = 258.31/x
  3. Step 3: Cross multiply
    281.94x = 420.46 × 258.31
  4. Step 4: Simplify right side
    281.94x = 108,609.02
  5. Step 5: Solve for x
    x = 108,609.02/281.94
  6. Step 6: Final answer
    x = 385.22

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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.