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Finding the Fourth Proportional to 102.49, 152.89 and 100.33

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Solution

The fourth proportional to 102.49, 152.89 and 100.33 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 152.89 = 100.33 : x
  2. Step 2: Convert to fraction form
    102.49/152.89 = 100.33/x
  3. Step 3: Cross multiply
    102.49x = 152.89 × 100.33
  4. Step 4: Simplify right side
    102.49x = 15,339.45
  5. Step 5: Solve for x
    x = 15,339.45/102.49
  6. Step 6: Final answer
    x = 149.67

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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.