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Finding the Fourth Proportional to 503.34, 754.39 and 272.08

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Solution

The fourth proportional to 503.34, 754.39 and 272.08 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 754.39 = 272.08 : x
  2. Step 2: Convert to fraction form
    503.34/754.39 = 272.08/x
  3. Step 3: Cross multiply
    503.34x = 754.39 × 272.08
  4. Step 4: Simplify right side
    503.34x = 205,254.43
  5. Step 5: Solve for x
    x = 205,254.43/503.34
  6. Step 6: Final answer
    x = 407.78

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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.