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Finding the Fourth Proportional to 334.97, 462.30 and 187.61

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Solution

The fourth proportional to 334.97, 462.30 and 187.61 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.97 : 462.30 = 187.61 : x
  2. Step 2: Convert to fraction form
    334.97/462.30 = 187.61/x
  3. Step 3: Cross multiply
    334.97x = 462.30 × 187.61
  4. Step 4: Simplify right side
    334.97x = 86,733.26
  5. Step 5: Solve for x
    x = 86,733.26/334.97
  6. Step 6: Final answer
    x = 258.93

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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.