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Finding the Fourth Proportional to 136.64, 204.77 and 106.06

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Solution

The fourth proportional to 136.64, 204.77 and 106.06 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 204.77 = 106.06 : x
  2. Step 2: Convert to fraction form
    136.64/204.77 = 106.06/x
  3. Step 3: Cross multiply
    136.64x = 204.77 × 106.06
  4. Step 4: Simplify right side
    136.64x = 21,717.91
  5. Step 5: Solve for x
    x = 21,717.91/136.64
  6. Step 6: Final answer
    x = 158.94

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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.