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Finding the Fourth Proportional to 305.15, 455.48 and 268.70

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Solution

The fourth proportional to 305.15, 455.48 and 268.70 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.15 : 455.48 = 268.70 : x
  2. Step 2: Convert to fraction form
    305.15/455.48 = 268.70/x
  3. Step 3: Cross multiply
    305.15x = 455.48 × 268.70
  4. Step 4: Simplify right side
    305.15x = 122,383.86
  5. Step 5: Solve for x
    x = 122,383.86/305.15
  6. Step 6: Final answer
    x = 401.07

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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.