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Finding the Fourth Proportional to 179.92, 268.64 and 154.20

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Solution

The fourth proportional to 179.92, 268.64 and 154.20 is: 230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.92 : 268.64 = 154.20 : x
  2. Step 2: Convert to fraction form
    179.92/268.64 = 154.20/x
  3. Step 3: Cross multiply
    179.92x = 268.64 × 154.20
  4. Step 4: Simplify right side
    179.92x = 41,424.29
  5. Step 5: Solve for x
    x = 41,424.29/179.92
  6. Step 6: Final answer
    x = 230.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.