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Finding the Fourth Proportional to 503.04, 754.12 and 271.80

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Solution

The fourth proportional to 503.04, 754.12 and 271.80 is: 407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.04 : 754.12 = 271.80 : x
  2. Step 2: Convert to fraction form
    503.04/754.12 = 271.80/x
  3. Step 3: Cross multiply
    503.04x = 754.12 × 271.80
  4. Step 4: Simplify right side
    503.04x = 204,969.82
  5. Step 5: Solve for x
    x = 204,969.82/503.04
  6. Step 6: Final answer
    x = 407.46

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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.