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Finding the Fourth Proportional to 304.69, 456.91 and 99.20

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Solution

The fourth proportional to 304.69, 456.91 and 99.20 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 456.91 = 99.20 : x
  2. Step 2: Convert to fraction form
    304.69/456.91 = 99.20/x
  3. Step 3: Cross multiply
    304.69x = 456.91 × 99.20
  4. Step 4: Simplify right side
    304.69x = 45,325.47
  5. Step 5: Solve for x
    x = 45,325.47/304.69
  6. Step 6: Final answer
    x = 148.76

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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.