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Finding the Fourth Proportional to 282.48, 390.08 and 227.62

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Solution

The fourth proportional to 282.48, 390.08 and 227.62 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 390.08 = 227.62 : x
  2. Step 2: Convert to fraction form
    282.48/390.08 = 227.62/x
  3. Step 3: Cross multiply
    282.48x = 390.08 × 227.62
  4. Step 4: Simplify right side
    282.48x = 88,790.01
  5. Step 5: Solve for x
    x = 88,790.01/282.48
  6. Step 6: Final answer
    x = 314.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.