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Finding the Fourth Proportional to 100.90, 151.25 and 55.26

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Solution

The fourth proportional to 100.90, 151.25 and 55.26 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.90 : 151.25 = 55.26 : x
  2. Step 2: Convert to fraction form
    100.90/151.25 = 55.26/x
  3. Step 3: Cross multiply
    100.90x = 151.25 × 55.26
  4. Step 4: Simplify right side
    100.90x = 8,357.32
  5. Step 5: Solve for x
    x = 8,357.32/100.90
  6. Step 6: Final answer
    x = 82.83

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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.