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Finding the Fourth Proportional to 337.92, 465.66 and 304.80

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Solution

The fourth proportional to 337.92, 465.66 and 304.80 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 465.66 = 304.80 : x
  2. Step 2: Convert to fraction form
    337.92/465.66 = 304.80/x
  3. Step 3: Cross multiply
    337.92x = 465.66 × 304.80
  4. Step 4: Simplify right side
    337.92x = 141,933.17
  5. Step 5: Solve for x
    x = 141,933.17/337.92
  6. Step 6: Final answer
    x = 420.02

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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.