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Finding the Fourth Proportional to 274.95, 412.31 and 82.53

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Solution

The fourth proportional to 274.95, 412.31 and 82.53 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.95 : 412.31 = 82.53 : x
  2. Step 2: Convert to fraction form
    274.95/412.31 = 82.53/x
  3. Step 3: Cross multiply
    274.95x = 412.31 × 82.53
  4. Step 4: Simplify right side
    274.95x = 34,027.53
  5. Step 5: Solve for x
    x = 34,027.53/274.95
  6. Step 6: Final answer
    x = 123.76

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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.