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Finding the Fourth Proportional to 245.76, 368.87 and 179.94

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Solution

The fourth proportional to 245.76, 368.87 and 179.94 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 368.87 = 179.94 : x
  2. Step 2: Convert to fraction form
    245.76/368.87 = 179.94/x
  3. Step 3: Cross multiply
    245.76x = 368.87 × 179.94
  4. Step 4: Simplify right side
    245.76x = 66,371.72
  5. Step 5: Solve for x
    x = 66,371.72/245.76
  6. Step 6: Final answer
    x = 270.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.