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Finding the Fourth Proportional to 503.40, 754.14 and 311.40

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Solution

The fourth proportional to 503.40, 754.14 and 311.40 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 754.14 = 311.40 : x
  2. Step 2: Convert to fraction form
    503.40/754.14 = 311.40/x
  3. Step 3: Cross multiply
    503.40x = 754.14 × 311.40
  4. Step 4: Simplify right side
    503.40x = 234,839.20
  5. Step 5: Solve for x
    x = 234,839.20/503.40
  6. Step 6: Final answer
    x = 466.51

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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.