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Finding the Fourth Proportional to 277.09, 415.33 and 167.40

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Solution

The fourth proportional to 277.09, 415.33 and 167.40 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 415.33 = 167.40 : x
  2. Step 2: Convert to fraction form
    277.09/415.33 = 167.40/x
  3. Step 3: Cross multiply
    277.09x = 415.33 × 167.40
  4. Step 4: Simplify right side
    277.09x = 69,525.82
  5. Step 5: Solve for x
    x = 69,525.82/277.09
  6. Step 6: Final answer
    x = 250.92

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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.