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Finding the Fourth Proportional to 277.28, 417.57 and 241.64

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Solution

The fourth proportional to 277.28, 417.57 and 241.64 is: 363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.28 : 417.57 = 241.64 : x
  2. Step 2: Convert to fraction form
    277.28/417.57 = 241.64/x
  3. Step 3: Cross multiply
    277.28x = 417.57 × 241.64
  4. Step 4: Simplify right side
    277.28x = 100,901.61
  5. Step 5: Solve for x
    x = 100,901.61/277.28
  6. Step 6: Final answer
    x = 363.90

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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.