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Finding the Fourth Proportional to 469.92, 648.36 and 304.14

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Solution

The fourth proportional to 469.92, 648.36 and 304.14 is: 419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.92 : 648.36 = 304.14 : x
  2. Step 2: Convert to fraction form
    469.92/648.36 = 304.14/x
  3. Step 3: Cross multiply
    469.92x = 648.36 × 304.14
  4. Step 4: Simplify right side
    469.92x = 197,192.21
  5. Step 5: Solve for x
    x = 197,192.21/469.92
  6. Step 6: Final answer
    x = 419.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.