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Finding the Fourth Proportional to 282.60, 421.38 and 258.48

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Solution

The fourth proportional to 282.60, 421.38 and 258.48 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 421.38 = 258.48 : x
  2. Step 2: Convert to fraction form
    282.60/421.38 = 258.48/x
  3. Step 3: Cross multiply
    282.60x = 421.38 × 258.48
  4. Step 4: Simplify right side
    282.60x = 108,918.30
  5. Step 5: Solve for x
    x = 108,918.30/282.60
  6. Step 6: Final answer
    x = 385.42

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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.