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Finding the Fourth Proportional to 308.04, 424.86 and 289.14

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Solution

The fourth proportional to 308.04, 424.86 and 289.14 is: 398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 424.86 = 289.14 : x
  2. Step 2: Convert to fraction form
    308.04/424.86 = 289.14/x
  3. Step 3: Cross multiply
    308.04x = 424.86 × 289.14
  4. Step 4: Simplify right side
    308.04x = 122,844.02
  5. Step 5: Solve for x
    x = 122,844.02/308.04
  6. Step 6: Final answer
    x = 398.79

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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.