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Finding the Fourth Proportional to 309.60, 459.60 and 296.64

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Solution

The fourth proportional to 309.60, 459.60 and 296.64 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 459.60 = 296.64 : x
  2. Step 2: Convert to fraction form
    309.60/459.60 = 296.64/x
  3. Step 3: Cross multiply
    309.60x = 459.60 × 296.64
  4. Step 4: Simplify right side
    309.60x = 136,335.74
  5. Step 5: Solve for x
    x = 136,335.74/309.60
  6. Step 6: Final answer
    x = 440.36

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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.