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Finding the Fourth Proportional to 100.83, 150.98 and 55.07

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Solution

The fourth proportional to 100.83, 150.98 and 55.07 is: 82.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 150.98 = 55.07 : x
  2. Step 2: Convert to fraction form
    100.83/150.98 = 55.07/x
  3. Step 3: Cross multiply
    100.83x = 150.98 × 55.07
  4. Step 4: Simplify right side
    100.83x = 8,313.44
  5. Step 5: Solve for x
    x = 8,313.44/100.83
  6. Step 6: Final answer
    x = 82.45

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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.