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Finding the Fourth Proportional to 309.60, 460.68 and 308.60

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Solution

The fourth proportional to 309.60, 460.68 and 308.60 is: 459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 460.68 = 308.60 : x
  2. Step 2: Convert to fraction form
    309.60/460.68 = 308.60/x
  3. Step 3: Cross multiply
    309.60x = 460.68 × 308.60
  4. Step 4: Simplify right side
    309.60x = 142,165.85
  5. Step 5: Solve for x
    x = 142,165.85/309.60
  6. Step 6: Final answer
    x = 459.19

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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.