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Finding the Fourth Proportional to 89.83, 135.05 and 49.33

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Solution

The fourth proportional to 89.83, 135.05 and 49.33 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 135.05 = 49.33 : x
  2. Step 2: Convert to fraction form
    89.83/135.05 = 49.33/x
  3. Step 3: Cross multiply
    89.83x = 135.05 × 49.33
  4. Step 4: Simplify right side
    89.83x = 6,662.02
  5. Step 5: Solve for x
    x = 6,662.02/89.83
  6. Step 6: Final answer
    x = 74.16

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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.