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Finding the Fourth Proportional to 186.50, 279.30 and 135.02

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Solution

The fourth proportional to 186.50, 279.30 and 135.02 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 279.30 = 135.02 : x
  2. Step 2: Convert to fraction form
    186.50/279.30 = 135.02/x
  3. Step 3: Cross multiply
    186.50x = 279.30 × 135.02
  4. Step 4: Simplify right side
    186.50x = 37,711.09
  5. Step 5: Solve for x
    x = 37,711.09/186.50
  6. Step 6: Final answer
    x = 202.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.