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Finding the Fourth Proportional to 135.56, 202.18 and 123.32

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Solution

The fourth proportional to 135.56, 202.18 and 123.32 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 202.18 = 123.32 : x
  2. Step 2: Convert to fraction form
    135.56/202.18 = 123.32/x
  3. Step 3: Cross multiply
    135.56x = 202.18 × 123.32
  4. Step 4: Simplify right side
    135.56x = 24,932.84
  5. Step 5: Solve for x
    x = 24,932.84/135.56
  6. Step 6: Final answer
    x = 183.92

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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.