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Finding the Fourth Proportional to 503.47, 755.21 and 138.31

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Solution

The fourth proportional to 503.47, 755.21 and 138.31 is: 207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.47 : 755.21 = 138.31 : x
  2. Step 2: Convert to fraction form
    503.47/755.21 = 138.31/x
  3. Step 3: Cross multiply
    503.47x = 755.21 × 138.31
  4. Step 4: Simplify right side
    503.47x = 104,453.10
  5. Step 5: Solve for x
    x = 104,453.10/503.47
  6. Step 6: Final answer
    x = 207.47

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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.