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Finding the Fourth Proportional to 131.49, 180.90 and 113.00

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Solution

The fourth proportional to 131.49, 180.90 and 113.00 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.49 : 180.90 = 113.00 : x
  2. Step 2: Convert to fraction form
    131.49/180.90 = 113.00/x
  3. Step 3: Cross multiply
    131.49x = 180.90 × 113.00
  4. Step 4: Simplify right side
    131.49x = 20,440.80
  5. Step 5: Solve for x
    x = 20,440.80/131.49
  6. Step 6: Final answer
    x = 155.46

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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.