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Finding the Fourth Proportional to 135.10, 186.31 and 90.15

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Solution

The fourth proportional to 135.10, 186.31 and 90.15 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.10 : 186.31 = 90.15 : x
  2. Step 2: Convert to fraction form
    135.10/186.31 = 90.15/x
  3. Step 3: Cross multiply
    135.10x = 186.31 × 90.15
  4. Step 4: Simplify right side
    135.10x = 16,795.62
  5. Step 5: Solve for x
    x = 16,795.62/135.10
  6. Step 6: Final answer
    x = 124.32

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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.