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Finding the Fourth Proportional to 309.12, 425.64 and 243.60

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Solution

The fourth proportional to 309.12, 425.64 and 243.60 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 425.64 = 243.60 : x
  2. Step 2: Convert to fraction form
    309.12/425.64 = 243.60/x
  3. Step 3: Cross multiply
    309.12x = 425.64 × 243.60
  4. Step 4: Simplify right side
    309.12x = 103,685.90
  5. Step 5: Solve for x
    x = 103,685.90/309.12
  6. Step 6: Final answer
    x = 335.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.