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Finding the Fourth Proportional to 305.54, 455.95 and 270.92

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Solution

The fourth proportional to 305.54, 455.95 and 270.92 is: 404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 455.95 = 270.92 : x
  2. Step 2: Convert to fraction form
    305.54/455.95 = 270.92/x
  3. Step 3: Cross multiply
    305.54x = 455.95 × 270.92
  4. Step 4: Simplify right side
    305.54x = 123,525.97
  5. Step 5: Solve for x
    x = 123,525.97/305.54
  6. Step 6: Final answer
    x = 404.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.