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Finding the Fourth Proportional to 427.38, 588.38 and 383.64

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Solution

The fourth proportional to 427.38, 588.38 and 383.64 is: 528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 588.38 = 383.64 : x
  2. Step 2: Convert to fraction form
    427.38/588.38 = 383.64/x
  3. Step 3: Cross multiply
    427.38x = 588.38 × 383.64
  4. Step 4: Simplify right side
    427.38x = 225,724.19
  5. Step 5: Solve for x
    x = 225,724.19/427.38
  6. Step 6: Final answer
    x = 528.16

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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.