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Finding the Fourth Proportional to 469.92, 648.18 and 304.35

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Solution

The fourth proportional to 469.92, 648.18 and 304.35 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.92 : 648.18 = 304.35 : x
  2. Step 2: Convert to fraction form
    469.92/648.18 = 304.35/x
  3. Step 3: Cross multiply
    469.92x = 648.18 × 304.35
  4. Step 4: Simplify right side
    469.92x = 197,273.58
  5. Step 5: Solve for x
    x = 197,273.58/469.92
  6. Step 6: Final answer
    x = 419.80

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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.