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Finding the Fourth Proportional to 305.16, 455.09 and 268.77

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Solution

The fourth proportional to 305.16, 455.09 and 268.77 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 455.09 = 268.77 : x
  2. Step 2: Convert to fraction form
    305.16/455.09 = 268.77/x
  3. Step 3: Cross multiply
    305.16x = 455.09 × 268.77
  4. Step 4: Simplify right side
    305.16x = 122,314.54
  5. Step 5: Solve for x
    x = 122,314.54/305.16
  6. Step 6: Final answer
    x = 400.82

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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.