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Finding the Fourth Proportional to 277.81, 417.32 and 140.82

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Solution

The fourth proportional to 277.81, 417.32 and 140.82 is: 211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.81 : 417.32 = 140.82 : x
  2. Step 2: Convert to fraction form
    277.81/417.32 = 140.82/x
  3. Step 3: Cross multiply
    277.81x = 417.32 × 140.82
  4. Step 4: Simplify right side
    277.81x = 58,764.21
  5. Step 5: Solve for x
    x = 58,764.21/277.81
  6. Step 6: Final answer
    x = 211.53

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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.