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Finding the Fourth Proportional to 102.56, 152.60 and 100.40

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Solution

The fourth proportional to 102.56, 152.60 and 100.40 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 152.60 = 100.40 : x
  2. Step 2: Convert to fraction form
    102.56/152.60 = 100.40/x
  3. Step 3: Cross multiply
    102.56x = 152.60 × 100.40
  4. Step 4: Simplify right side
    102.56x = 15,321.04
  5. Step 5: Solve for x
    x = 15,321.04/102.56
  6. Step 6: Final answer
    x = 149.39

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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.