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Finding the Fourth Proportional to 101.50, 152.28 and 55.21

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Solution

The fourth proportional to 101.50, 152.28 and 55.21 is: 82.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 152.28 = 55.21 : x
  2. Step 2: Convert to fraction form
    101.50/152.28 = 55.21/x
  3. Step 3: Cross multiply
    101.50x = 152.28 × 55.21
  4. Step 4: Simplify right side
    101.50x = 8,407.67
  5. Step 5: Solve for x
    x = 8,407.67/101.50
  6. Step 6: Final answer
    x = 82.84

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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.