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Finding the Fourth Proportional to 134.46, 202.40 and 105.74

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Solution

The fourth proportional to 134.46, 202.40 and 105.74 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.46 : 202.40 = 105.74 : x
  2. Step 2: Convert to fraction form
    134.46/202.40 = 105.74/x
  3. Step 3: Cross multiply
    134.46x = 202.40 × 105.74
  4. Step 4: Simplify right side
    134.46x = 21,401.78
  5. Step 5: Solve for x
    x = 21,401.78/134.46
  6. Step 6: Final answer
    x = 159.17

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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.