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Finding the Fourth Proportional to 308.10, 425.38 and 238.04

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Solution

The fourth proportional to 308.10, 425.38 and 238.04 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 425.38 = 238.04 : x
  2. Step 2: Convert to fraction form
    308.10/425.38 = 238.04/x
  3. Step 3: Cross multiply
    308.10x = 425.38 × 238.04
  4. Step 4: Simplify right side
    308.10x = 101,254.14
  5. Step 5: Solve for x
    x = 101,254.14/308.10
  6. Step 6: Final answer
    x = 328.64

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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.