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Finding the Fourth Proportional to 305.24, 457.99 and 189.81

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Solution

The fourth proportional to 305.24, 457.99 and 189.81 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 457.99 = 189.81 : x
  2. Step 2: Convert to fraction form
    305.24/457.99 = 189.81/x
  3. Step 3: Cross multiply
    305.24x = 457.99 × 189.81
  4. Step 4: Simplify right side
    305.24x = 86,930.61
  5. Step 5: Solve for x
    x = 86,930.61/305.24
  6. Step 6: Final answer
    x = 284.80

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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.