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Finding the Fourth Proportional to 431.80, 648.06 and 335.80

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Solution

The fourth proportional to 431.80, 648.06 and 335.80 is: 503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 648.06 = 335.80 : x
  2. Step 2: Convert to fraction form
    431.80/648.06 = 335.80/x
  3. Step 3: Cross multiply
    431.80x = 648.06 × 335.80
  4. Step 4: Simplify right side
    431.80x = 217,618.55
  5. Step 5: Solve for x
    x = 217,618.55/431.80
  6. Step 6: Final answer
    x = 503.98

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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.