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Finding the Fourth Proportional to 243.34, 335.95 and 186.45

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Solution

The fourth proportional to 243.34, 335.95 and 186.45 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.34 : 335.95 = 186.45 : x
  2. Step 2: Convert to fraction form
    243.34/335.95 = 186.45/x
  3. Step 3: Cross multiply
    243.34x = 335.95 × 186.45
  4. Step 4: Simplify right side
    243.34x = 62,638.04
  5. Step 5: Solve for x
    x = 62,638.04/243.34
  6. Step 6: Final answer
    x = 257.41

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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.