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Finding the Fourth Proportional to 238.98, 356.76 and 218.46

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Solution

The fourth proportional to 238.98, 356.76 and 218.46 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 356.76 = 218.46 : x
  2. Step 2: Convert to fraction form
    238.98/356.76 = 218.46/x
  3. Step 3: Cross multiply
    238.98x = 356.76 × 218.46
  4. Step 4: Simplify right side
    238.98x = 77,937.79
  5. Step 5: Solve for x
    x = 77,937.79/238.98
  6. Step 6: Final answer
    x = 326.13

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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.