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Finding the Fourth Proportional to 305.38, 458.18 and 189.66

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Solution

The fourth proportional to 305.38, 458.18 and 189.66 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 458.18 = 189.66 : x
  2. Step 2: Convert to fraction form
    305.38/458.18 = 189.66/x
  3. Step 3: Cross multiply
    305.38x = 458.18 × 189.66
  4. Step 4: Simplify right side
    305.38x = 86,898.42
  5. Step 5: Solve for x
    x = 86,898.42/305.38
  6. Step 6: Final answer
    x = 284.56

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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.