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Finding the Fourth Proportional to 335.12, 502.82 and 172.84

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Solution

The fourth proportional to 335.12, 502.82 and 172.84 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.12 : 502.82 = 172.84 : x
  2. Step 2: Convert to fraction form
    335.12/502.82 = 172.84/x
  3. Step 3: Cross multiply
    335.12x = 502.82 × 172.84
  4. Step 4: Simplify right side
    335.12x = 86,907.41
  5. Step 5: Solve for x
    x = 86,907.41/335.12
  6. Step 6: Final answer
    x = 259.33

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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.