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Finding the Fourth Proportional to 305.75, 456.38 and 262.69

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Solution

The fourth proportional to 305.75, 456.38 and 262.69 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 456.38 = 262.69 : x
  2. Step 2: Convert to fraction form
    305.75/456.38 = 262.69/x
  3. Step 3: Cross multiply
    305.75x = 456.38 × 262.69
  4. Step 4: Simplify right side
    305.75x = 119,887.38
  5. Step 5: Solve for x
    x = 119,887.38/305.75
  6. Step 6: Final answer
    x = 392.11

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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.