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Finding the Fourth Proportional to 503.10, 754.90 and 178.49

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Solution

The fourth proportional to 503.10, 754.90 and 178.49 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.10 : 754.90 = 178.49 : x
  2. Step 2: Convert to fraction form
    503.10/754.90 = 178.49/x
  3. Step 3: Cross multiply
    503.10x = 754.90 × 178.49
  4. Step 4: Simplify right side
    503.10x = 134,742.10
  5. Step 5: Solve for x
    x = 134,742.10/503.10
  6. Step 6: Final answer
    x = 267.82

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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.