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Finding the Fourth Proportional to 308.71, 461.01 and 290.71

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Solution

The fourth proportional to 308.71, 461.01 and 290.71 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.71 : 461.01 = 290.71 : x
  2. Step 2: Convert to fraction form
    308.71/461.01 = 290.71/x
  3. Step 3: Cross multiply
    308.71x = 461.01 × 290.71
  4. Step 4: Simplify right side
    308.71x = 134,020.22
  5. Step 5: Solve for x
    x = 134,020.22/308.71
  6. Step 6: Final answer
    x = 434.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.