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Finding the Fourth Proportional to 134.40, 202.32 and 102.48

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Solution

The fourth proportional to 134.40, 202.32 and 102.48 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 202.32 = 102.48 : x
  2. Step 2: Convert to fraction form
    134.40/202.32 = 102.48/x
  3. Step 3: Cross multiply
    134.40x = 202.32 × 102.48
  4. Step 4: Simplify right side
    134.40x = 20,733.75
  5. Step 5: Solve for x
    x = 20,733.75/134.40
  6. Step 6: Final answer
    x = 154.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.