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Finding the Fourth Proportional to 135.19, 186.51 and 79.91

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Solution

The fourth proportional to 135.19, 186.51 and 79.91 is: 110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.19 : 186.51 = 79.91 : x
  2. Step 2: Convert to fraction form
    135.19/186.51 = 79.91/x
  3. Step 3: Cross multiply
    135.19x = 186.51 × 79.91
  4. Step 4: Simplify right side
    135.19x = 14,903.08
  5. Step 5: Solve for x
    x = 14,903.08/135.19
  6. Step 6: Final answer
    x = 110.24

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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.