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Finding the Fourth Proportional to 304.87, 457.33 and 99.43

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Solution

The fourth proportional to 304.87, 457.33 and 99.43 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.87 : 457.33 = 99.43 : x
  2. Step 2: Convert to fraction form
    304.87/457.33 = 99.43/x
  3. Step 3: Cross multiply
    304.87x = 457.33 × 99.43
  4. Step 4: Simplify right side
    304.87x = 45,473.69
  5. Step 5: Solve for x
    x = 45,473.69/304.87
  6. Step 6: Final answer
    x = 149.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.