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Finding the Fourth Proportional to 282.66, 390.22 and 177.98

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Solution

The fourth proportional to 282.66, 390.22 and 177.98 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 390.22 = 177.98 : x
  2. Step 2: Convert to fraction form
    282.66/390.22 = 177.98/x
  3. Step 3: Cross multiply
    282.66x = 390.22 × 177.98
  4. Step 4: Simplify right side
    282.66x = 69,451.36
  5. Step 5: Solve for x
    x = 69,451.36/282.66
  6. Step 6: Final answer
    x = 245.71

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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.