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Finding the Fourth Proportional to 503.25, 754.88 and 178.63

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Solution

The fourth proportional to 503.25, 754.88 and 178.63 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.25 : 754.88 = 178.63 : x
  2. Step 2: Convert to fraction form
    503.25/754.88 = 178.63/x
  3. Step 3: Cross multiply
    503.25x = 754.88 × 178.63
  4. Step 4: Simplify right side
    503.25x = 134,844.21
  5. Step 5: Solve for x
    x = 134,844.21/503.25
  6. Step 6: Final answer
    x = 267.95

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Similar ratio
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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.