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Finding the Fourth Proportional to 252.18, 376.02 and 238.68

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Solution

The fourth proportional to 252.18, 376.02 and 238.68 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 376.02 = 238.68 : x
  2. Step 2: Convert to fraction form
    252.18/376.02 = 238.68/x
  3. Step 3: Cross multiply
    252.18x = 376.02 × 238.68
  4. Step 4: Simplify right side
    252.18x = 89,748.45
  5. Step 5: Solve for x
    x = 89,748.45/252.18
  6. Step 6: Final answer
    x = 355.89

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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.