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Finding the Fourth Proportional to 503.30, 755.03 and 178.78

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Solution

The fourth proportional to 503.30, 755.03 and 178.78 is: 268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 755.03 = 178.78 : x
  2. Step 2: Convert to fraction form
    503.30/755.03 = 178.78/x
  3. Step 3: Cross multiply
    503.30x = 755.03 × 178.78
  4. Step 4: Simplify right side
    503.30x = 134,984.26
  5. Step 5: Solve for x
    x = 134,984.26/503.30
  6. Step 6: Final answer
    x = 268.20

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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.