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Finding the Fourth Proportional to 133.40, 186.40 and 133.40

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Solution

The fourth proportional to 133.40, 186.40 and 133.40 is: 186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.40 : 186.40 = 133.40 : x
  2. Step 2: Convert to fraction form
    133.40/186.40 = 133.40/x
  3. Step 3: Cross multiply
    133.40x = 186.40 × 133.40
  4. Step 4: Simplify right side
    133.40x = 24,865.76
  5. Step 5: Solve for x
    x = 24,865.76/133.40
  6. Step 6: Final answer
    x = 186.40

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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.