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Finding the Fourth Proportional to 252.67, 378.94 and 90.35

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Solution

The fourth proportional to 252.67, 378.94 and 90.35 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.67 : 378.94 = 90.35 : x
  2. Step 2: Convert to fraction form
    252.67/378.94 = 90.35/x
  3. Step 3: Cross multiply
    252.67x = 378.94 × 90.35
  4. Step 4: Simplify right side
    252.67x = 34,237.23
  5. Step 5: Solve for x
    x = 34,237.23/252.67
  6. Step 6: Final answer
    x = 135.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.