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Finding the Fourth Proportional to 304.38, 456.18 and 139.68

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Solution

The fourth proportional to 304.38, 456.18 and 139.68 is: 209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 456.18 = 139.68 : x
  2. Step 2: Convert to fraction form
    304.38/456.18 = 139.68/x
  3. Step 3: Cross multiply
    304.38x = 456.18 × 139.68
  4. Step 4: Simplify right side
    304.38x = 63,719.22
  5. Step 5: Solve for x
    x = 63,719.22/304.38
  6. Step 6: Final answer
    x = 209.34

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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.