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Finding the Fourth Proportional to 431.92, 646.62 and 335.80

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Solution

The fourth proportional to 431.92, 646.62 and 335.80 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 646.62 = 335.80 : x
  2. Step 2: Convert to fraction form
    431.92/646.62 = 335.80/x
  3. Step 3: Cross multiply
    431.92x = 646.62 × 335.80
  4. Step 4: Simplify right side
    431.92x = 217,135.00
  5. Step 5: Solve for x
    x = 217,135.00/431.92
  6. Step 6: Final answer
    x = 502.72

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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.