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Finding the Fourth Proportional to 503.67, 755.36 and 138.47

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Solution

The fourth proportional to 503.67, 755.36 and 138.47 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.67 : 755.36 = 138.47 : x
  2. Step 2: Convert to fraction form
    503.67/755.36 = 138.47/x
  3. Step 3: Cross multiply
    503.67x = 755.36 × 138.47
  4. Step 4: Simplify right side
    503.67x = 104,594.70
  5. Step 5: Solve for x
    x = 104,594.70/503.67
  6. Step 6: Final answer
    x = 207.67

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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.