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Finding the Fourth Proportional to 135.02, 186.23 and 101.79

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Solution

The fourth proportional to 135.02, 186.23 and 101.79 is: 140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.02 : 186.23 = 101.79 : x
  2. Step 2: Convert to fraction form
    135.02/186.23 = 101.79/x
  3. Step 3: Cross multiply
    135.02x = 186.23 × 101.79
  4. Step 4: Simplify right side
    135.02x = 18,955.84
  5. Step 5: Solve for x
    x = 18,955.84/135.02
  6. Step 6: Final answer
    x = 140.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.