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Finding the Fourth Proportional to 100.83, 150.94 and 55.07

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Solution

The fourth proportional to 100.83, 150.94 and 55.07 is: 82.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 150.94 = 55.07 : x
  2. Step 2: Convert to fraction form
    100.83/150.94 = 55.07/x
  3. Step 3: Cross multiply
    100.83x = 150.94 × 55.07
  4. Step 4: Simplify right side
    100.83x = 8,312.15
  5. Step 5: Solve for x
    x = 8,312.15/100.83
  6. Step 6: Final answer
    x = 82.43

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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.