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Finding the Fourth Proportional to 503.12, 754.52 and 161.04

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Solution

The fourth proportional to 503.12, 754.52 and 161.04 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 754.52 = 161.04 : x
  2. Step 2: Convert to fraction form
    503.12/754.52 = 161.04/x
  3. Step 3: Cross multiply
    503.12x = 754.52 × 161.04
  4. Step 4: Simplify right side
    503.12x = 121,507.90
  5. Step 5: Solve for x
    x = 121,507.90/503.12
  6. Step 6: Final answer
    x = 241.51

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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.