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Finding the Fourth Proportional to 90.51, 136.22 and 67.80

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Solution

The fourth proportional to 90.51, 136.22 and 67.80 is: 102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.51 : 136.22 = 67.80 : x
  2. Step 2: Convert to fraction form
    90.51/136.22 = 67.80/x
  3. Step 3: Cross multiply
    90.51x = 136.22 × 67.80
  4. Step 4: Simplify right side
    90.51x = 9,235.89
  5. Step 5: Solve for x
    x = 9,235.89/90.51
  6. Step 6: Final answer
    x = 102.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.