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Finding the Fourth Proportional to 426.16, 588.08 and 239.60

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Solution

The fourth proportional to 426.16, 588.08 and 239.60 is: 330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 588.08 = 239.60 : x
  2. Step 2: Convert to fraction form
    426.16/588.08 = 239.60/x
  3. Step 3: Cross multiply
    426.16x = 588.08 × 239.60
  4. Step 4: Simplify right side
    426.16x = 140,903.97
  5. Step 5: Solve for x
    x = 140,903.97/426.16
  6. Step 6: Final answer
    x = 330.64

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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.