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Finding the Fourth Proportional to 277.05, 417.19 and 200.55

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Solution

The fourth proportional to 277.05, 417.19 and 200.55 is: 301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.05 : 417.19 = 200.55 : x
  2. Step 2: Convert to fraction form
    277.05/417.19 = 200.55/x
  3. Step 3: Cross multiply
    277.05x = 417.19 × 200.55
  4. Step 4: Simplify right side
    277.05x = 83,666.45
  5. Step 5: Solve for x
    x = 83,666.45/277.05
  6. Step 6: Final answer
    x = 301.99

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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.