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Finding the Fourth Proportional to 94.16, 140.25 and 90.50

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Solution

The fourth proportional to 94.16, 140.25 and 90.50 is: 134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 140.25 = 90.50 : x
  2. Step 2: Convert to fraction form
    94.16/140.25 = 90.50/x
  3. Step 3: Cross multiply
    94.16x = 140.25 × 90.50
  4. Step 4: Simplify right side
    94.16x = 12,692.63
  5. Step 5: Solve for x
    x = 12,692.63/94.16
  6. Step 6: Final answer
    x = 134.80

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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.