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Finding the Fourth Proportional to 180.04, 268.60 and 154.06

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Solution

The fourth proportional to 180.04, 268.60 and 154.06 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 268.60 = 154.06 : x
  2. Step 2: Convert to fraction form
    180.04/268.60 = 154.06/x
  3. Step 3: Cross multiply
    180.04x = 268.60 × 154.06
  4. Step 4: Simplify right side
    180.04x = 41,380.52
  5. Step 5: Solve for x
    x = 41,380.52/180.04
  6. Step 6: Final answer
    x = 229.84

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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.