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Finding the Fourth Proportional to 310.34, 461.99 and 306.02

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Solution

The fourth proportional to 310.34, 461.99 and 306.02 is: 455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 461.99 = 306.02 : x
  2. Step 2: Convert to fraction form
    310.34/461.99 = 306.02/x
  3. Step 3: Cross multiply
    310.34x = 461.99 × 306.02
  4. Step 4: Simplify right side
    310.34x = 141,375.49
  5. Step 5: Solve for x
    x = 141,375.49/310.34
  6. Step 6: Final answer
    x = 455.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.