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Finding the Fourth Proportional to 275.48, 412.68 and 179

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Solution

The fourth proportional to 275.48, 412.68 and 179 is: 268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 412.68 = 179 : x
  2. Step 2: Convert to fraction form
    275.48/412.68 = 179/x
  3. Step 3: Cross multiply
    275.48x = 412.68 × 179
  4. Step 4: Simplify right side
    275.48x = 73,869.72
  5. Step 5: Solve for x
    x = 73,869.72/275.48
  6. Step 6: Final answer
    x = 268.15

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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.