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Finding the Fourth Proportional to 131.68, 180.88 and 113.00

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Solution

The fourth proportional to 131.68, 180.88 and 113.00 is: 155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.68 : 180.88 = 113.00 : x
  2. Step 2: Convert to fraction form
    131.68/180.88 = 113.00/x
  3. Step 3: Cross multiply
    131.68x = 180.88 × 113.00
  4. Step 4: Simplify right side
    131.68x = 20,438.89
  5. Step 5: Solve for x
    x = 20,438.89/131.68
  6. Step 6: Final answer
    x = 155.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.