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Finding the Fourth Proportional to 503.89, 755.82 and 157.22

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Solution

The fourth proportional to 503.89, 755.82 and 157.22 is: 235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.89 : 755.82 = 157.22 : x
  2. Step 2: Convert to fraction form
    503.89/755.82 = 157.22/x
  3. Step 3: Cross multiply
    503.89x = 755.82 × 157.22
  4. Step 4: Simplify right side
    503.89x = 118,827.39
  5. Step 5: Solve for x
    x = 118,827.39/503.89
  6. Step 6: Final answer
    x = 235.82

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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.