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Finding the Fourth Proportional to 308.04, 424.88 and 203.12

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Solution

The fourth proportional to 308.04, 424.88 and 203.12 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 424.88 = 203.12 : x
  2. Step 2: Convert to fraction form
    308.04/424.88 = 203.12/x
  3. Step 3: Cross multiply
    308.04x = 424.88 × 203.12
  4. Step 4: Simplify right side
    308.04x = 86,301.63
  5. Step 5: Solve for x
    x = 86,301.63/308.04
  6. Step 6: Final answer
    x = 280.16

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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.