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Finding the Fourth Proportional to 427.20, 588.46 and 302.64

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Solution

The fourth proportional to 427.20, 588.46 and 302.64 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.20 : 588.46 = 302.64 : x
  2. Step 2: Convert to fraction form
    427.20/588.46 = 302.64/x
  3. Step 3: Cross multiply
    427.20x = 588.46 × 302.64
  4. Step 4: Simplify right side
    427.20x = 178,091.53
  5. Step 5: Solve for x
    x = 178,091.53/427.20
  6. Step 6: Final answer
    x = 416.88

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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.