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Finding the Fourth Proportional to 135.30, 204.06 and 135.30

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Solution

The fourth proportional to 135.30, 204.06 and 135.30 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 204.06 = 135.30 : x
  2. Step 2: Convert to fraction form
    135.30/204.06 = 135.30/x
  3. Step 3: Cross multiply
    135.30x = 204.06 × 135.30
  4. Step 4: Simplify right side
    135.30x = 27,609.32
  5. Step 5: Solve for x
    x = 27,609.32/135.30
  6. Step 6: Final answer
    x = 204.06

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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.