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Finding the Fourth Proportional to 277.55, 415.41 and 247.17

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Solution

The fourth proportional to 277.55, 415.41 and 247.17 is: 369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 415.41 = 247.17 : x
  2. Step 2: Convert to fraction form
    277.55/415.41 = 247.17/x
  3. Step 3: Cross multiply
    277.55x = 415.41 × 247.17
  4. Step 4: Simplify right side
    277.55x = 102,677.00
  5. Step 5: Solve for x
    x = 102,677.00/277.55
  6. Step 6: Final answer
    x = 369.94

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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.