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Finding the Fourth Proportional to 282.24, 421.62 and 227.04

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Solution

The fourth proportional to 282.24, 421.62 and 227.04 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 421.62 = 227.04 : x
  2. Step 2: Convert to fraction form
    282.24/421.62 = 227.04/x
  3. Step 3: Cross multiply
    282.24x = 421.62 × 227.04
  4. Step 4: Simplify right side
    282.24x = 95,724.60
  5. Step 5: Solve for x
    x = 95,724.60/282.24
  6. Step 6: Final answer
    x = 339.16

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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.