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Finding the Fourth Proportional to 304.91, 457.46 and 99.48

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Solution

The fourth proportional to 304.91, 457.46 and 99.48 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.91 : 457.46 = 99.48 : x
  2. Step 2: Convert to fraction form
    304.91/457.46 = 99.48/x
  3. Step 3: Cross multiply
    304.91x = 457.46 × 99.48
  4. Step 4: Simplify right side
    304.91x = 45,508.12
  5. Step 5: Solve for x
    x = 45,508.12/304.91
  6. Step 6: Final answer
    x = 149.25

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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.