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Finding the Fourth Proportional to 92.90, 140.18 and 89.51

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Solution

The fourth proportional to 92.90, 140.18 and 89.51 is: 135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 140.18 = 89.51 : x
  2. Step 2: Convert to fraction form
    92.90/140.18 = 89.51/x
  3. Step 3: Cross multiply
    92.90x = 140.18 × 89.51
  4. Step 4: Simplify right side
    92.90x = 12,546.87
  5. Step 5: Solve for x
    x = 12,546.87/92.90
  6. Step 6: Final answer
    x = 135.06

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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.