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Finding the Fourth Proportional to 304.48, 417.60 and 300.16

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Solution

The fourth proportional to 304.48, 417.60 and 300.16 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 417.60 = 300.16 : x
  2. Step 2: Convert to fraction form
    304.48/417.60 = 300.16/x
  3. Step 3: Cross multiply
    304.48x = 417.60 × 300.16
  4. Step 4: Simplify right side
    304.48x = 125,346.82
  5. Step 5: Solve for x
    x = 125,346.82/304.48
  6. Step 6: Final answer
    x = 411.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.