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Finding the Fourth Proportional to 849.16, 1,273.32 and 271.84

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Solution

The fourth proportional to 849.16, 1,273.32 and 271.84 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.16 : 1,273.32 = 271.84 : x
  2. Step 2: Convert to fraction form
    849.16/1,273.32 = 271.84/x
  3. Step 3: Cross multiply
    849.16x = 1,273.32 × 271.84
  4. Step 4: Simplify right side
    849.16x = 346,139.31
  5. Step 5: Solve for x
    x = 346,139.31/849.16
  6. Step 6: Final answer
    x = 407.63

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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.