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Finding the Fourth Proportional to 101.98, 152.08 and 100.50

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Solution

The fourth proportional to 101.98, 152.08 and 100.50 is: 149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.98 : 152.08 = 100.50 : x
  2. Step 2: Convert to fraction form
    101.98/152.08 = 100.50/x
  3. Step 3: Cross multiply
    101.98x = 152.08 × 100.50
  4. Step 4: Simplify right side
    101.98x = 15,284.04
  5. Step 5: Solve for x
    x = 15,284.04/101.98
  6. Step 6: Final answer
    x = 149.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.