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Finding the Fourth Proportional to 305.78, 458.67 and 113.30

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Solution

The fourth proportional to 305.78, 458.67 and 113.30 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 458.67 = 113.30 : x
  2. Step 2: Convert to fraction form
    305.78/458.67 = 113.30/x
  3. Step 3: Cross multiply
    305.78x = 458.67 × 113.30
  4. Step 4: Simplify right side
    305.78x = 51,967.31
  5. Step 5: Solve for x
    x = 51,967.31/305.78
  6. Step 6: Final answer
    x = 169.95

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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.