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Finding the Fourth Proportional to 89.58, 133.66 and 83.90

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Solution

The fourth proportional to 89.58, 133.66 and 83.90 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.58 : 133.66 = 83.90 : x
  2. Step 2: Convert to fraction form
    89.58/133.66 = 83.90/x
  3. Step 3: Cross multiply
    89.58x = 133.66 × 83.90
  4. Step 4: Simplify right side
    89.58x = 11,214.07
  5. Step 5: Solve for x
    x = 11,214.07/89.58
  6. Step 6: Final answer
    x = 125.19

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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.