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Finding the Fourth Proportional to 100.46, 150.56 and 54.80

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Solution

The fourth proportional to 100.46, 150.56 and 54.80 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.56 = 54.80 : x
  2. Step 2: Convert to fraction form
    100.46/150.56 = 54.80/x
  3. Step 3: Cross multiply
    100.46x = 150.56 × 54.80
  4. Step 4: Simplify right side
    100.46x = 8,250.46
  5. Step 5: Solve for x
    x = 8,250.46/100.46
  6. Step 6: Final answer
    x = 82.13

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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.