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Finding the Fourth Proportional to 277.08, 417.57 and 251.07

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Solution

The fourth proportional to 277.08, 417.57 and 251.07 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 417.57 = 251.07 : x
  2. Step 2: Convert to fraction form
    277.08/417.57 = 251.07/x
  3. Step 3: Cross multiply
    277.08x = 417.57 × 251.07
  4. Step 4: Simplify right side
    277.08x = 104,839.30
  5. Step 5: Solve for x
    x = 104,839.30/277.08
  6. Step 6: Final answer
    x = 378.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.