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Finding the Fourth Proportional to 131.35, 180.83 and 89.81

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Solution

The fourth proportional to 131.35, 180.83 and 89.81 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.35 : 180.83 = 89.81 : x
  2. Step 2: Convert to fraction form
    131.35/180.83 = 89.81/x
  3. Step 3: Cross multiply
    131.35x = 180.83 × 89.81
  4. Step 4: Simplify right side
    131.35x = 16,239.89
  5. Step 5: Solve for x
    x = 16,239.89/131.35
  6. Step 6: Final answer
    x = 123.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.