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Finding the Fourth Proportional to 309.20, 461.86 and 307.76

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Solution

The fourth proportional to 309.20, 461.86 and 307.76 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 461.86 = 307.76 : x
  2. Step 2: Convert to fraction form
    309.20/461.86 = 307.76/x
  3. Step 3: Cross multiply
    309.20x = 461.86 × 307.76
  4. Step 4: Simplify right side
    309.20x = 142,142.03
  5. Step 5: Solve for x
    x = 142,142.03/309.20
  6. Step 6: Final answer
    x = 459.71

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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.