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Finding the Fourth Proportional to 848.88, 1,273.56 and 271.80

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Solution

The fourth proportional to 848.88, 1,273.56 and 271.80 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.88 : 1,273.56 = 271.80 : x
  2. Step 2: Convert to fraction form
    848.88/1,273.56 = 271.80/x
  3. Step 3: Cross multiply
    848.88x = 1,273.56 × 271.80
  4. Step 4: Simplify right side
    848.88x = 346,153.61
  5. Step 5: Solve for x
    x = 346,153.61/848.88
  6. Step 6: Final answer
    x = 407.78

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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.