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Finding the Fourth Proportional to 310.05, 459.28 and 306.60

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Solution

The fourth proportional to 310.05, 459.28 and 306.60 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.05 : 459.28 = 306.60 : x
  2. Step 2: Convert to fraction form
    310.05/459.28 = 306.60/x
  3. Step 3: Cross multiply
    310.05x = 459.28 × 306.60
  4. Step 4: Simplify right side
    310.05x = 140,813.33
  5. Step 5: Solve for x
    x = 140,813.33/310.05
  6. Step 6: Final answer
    x = 454.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.