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Finding the Fourth Proportional to 135.02, 185.13 and 128.06

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Solution

The fourth proportional to 135.02, 185.13 and 128.06 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.02 : 185.13 = 128.06 : x
  2. Step 2: Convert to fraction form
    135.02/185.13 = 128.06/x
  3. Step 3: Cross multiply
    135.02x = 185.13 × 128.06
  4. Step 4: Simplify right side
    135.02x = 23,707.11
  5. Step 5: Solve for x
    x = 23,707.11/135.02
  6. Step 6: Final answer
    x = 175.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.