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Finding the Fourth Proportional to 135.40, 189.20 and 135.40

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Solution

The fourth proportional to 135.40, 189.20 and 135.40 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.40 : 189.20 = 135.40 : x
  2. Step 2: Convert to fraction form
    135.40/189.20 = 135.40/x
  3. Step 3: Cross multiply
    135.40x = 189.20 × 135.40
  4. Step 4: Simplify right side
    135.40x = 25,617.68
  5. Step 5: Solve for x
    x = 25,617.68/135.40
  6. Step 6: Final answer
    x = 189.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.