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Finding the Fourth Proportional to 308.67, 461.95 and 257.40

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Solution

The fourth proportional to 308.67, 461.95 and 257.40 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.67 : 461.95 = 257.40 : x
  2. Step 2: Convert to fraction form
    308.67/461.95 = 257.40/x
  3. Step 3: Cross multiply
    308.67x = 461.95 × 257.40
  4. Step 4: Simplify right side
    308.67x = 118,905.93
  5. Step 5: Solve for x
    x = 118,905.93/308.67
  6. Step 6: Final answer
    x = 385.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.