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Finding the Fourth Proportional to 503.56, 755.25 and 138.40

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Solution

The fourth proportional to 503.56, 755.25 and 138.40 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 755.25 = 138.40 : x
  2. Step 2: Convert to fraction form
    503.56/755.25 = 138.40/x
  3. Step 3: Cross multiply
    503.56x = 755.25 × 138.40
  4. Step 4: Simplify right side
    503.56x = 104,526.60
  5. Step 5: Solve for x
    x = 104,526.60/503.56
  6. Step 6: Final answer
    x = 207.58

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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.