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Finding the Fourth Proportional to 102.23, 152.43 and 100.41

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Solution

The fourth proportional to 102.23, 152.43 and 100.41 is: 149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.23 : 152.43 = 100.41 : x
  2. Step 2: Convert to fraction form
    102.23/152.43 = 100.41/x
  3. Step 3: Cross multiply
    102.23x = 152.43 × 100.41
  4. Step 4: Simplify right side
    102.23x = 15,305.30
  5. Step 5: Solve for x
    x = 15,305.30/102.23
  6. Step 6: Final answer
    x = 149.72

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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.