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Finding the Fourth Proportional to 282.89, 390.57 and 178.12

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Solution

The fourth proportional to 282.89, 390.57 and 178.12 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.89 : 390.57 = 178.12 : x
  2. Step 2: Convert to fraction form
    282.89/390.57 = 178.12/x
  3. Step 3: Cross multiply
    282.89x = 390.57 × 178.12
  4. Step 4: Simplify right side
    282.89x = 69,568.33
  5. Step 5: Solve for x
    x = 69,568.33/282.89
  6. Step 6: Final answer
    x = 245.92

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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.