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Finding the Fourth Proportional to 277.99, 417.12 and 123.90

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Solution

The fourth proportional to 277.99, 417.12 and 123.90 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 417.12 = 123.90 : x
  2. Step 2: Convert to fraction form
    277.99/417.12 = 123.90/x
  3. Step 3: Cross multiply
    277.99x = 417.12 × 123.90
  4. Step 4: Simplify right side
    277.99x = 51,682.73
  5. Step 5: Solve for x
    x = 51,682.73/277.99
  6. Step 6: Final answer
    x = 185.91

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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.