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Finding the Fourth Proportional to 308.78, 460.26 and 290.06

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Solution

The fourth proportional to 308.78, 460.26 and 290.06 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.78 : 460.26 = 290.06 : x
  2. Step 2: Convert to fraction form
    308.78/460.26 = 290.06/x
  3. Step 3: Cross multiply
    308.78x = 460.26 × 290.06
  4. Step 4: Simplify right side
    308.78x = 133,503.02
  5. Step 5: Solve for x
    x = 133,503.02/308.78
  6. Step 6: Final answer
    x = 432.36

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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.