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Finding the Fourth Proportional to 135.89, 202.45 and 134.01

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Solution

The fourth proportional to 135.89, 202.45 and 134.01 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.89 : 202.45 = 134.01 : x
  2. Step 2: Convert to fraction form
    135.89/202.45 = 134.01/x
  3. Step 3: Cross multiply
    135.89x = 202.45 × 134.01
  4. Step 4: Simplify right side
    135.89x = 27,130.32
  5. Step 5: Solve for x
    x = 27,130.32/135.89
  6. Step 6: Final answer
    x = 199.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.