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Finding the Fourth Proportional to 277.42, 415.64 and 180.02

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Solution

The fourth proportional to 277.42, 415.64 and 180.02 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 415.64 = 180.02 : x
  2. Step 2: Convert to fraction form
    277.42/415.64 = 180.02/x
  3. Step 3: Cross multiply
    277.42x = 415.64 × 180.02
  4. Step 4: Simplify right side
    277.42x = 74,821.88
  5. Step 5: Solve for x
    x = 74,821.88/277.42
  6. Step 6: Final answer
    x = 269.71

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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.