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Finding the Fourth Proportional to 135.94, 202.58 and 131.59

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Solution

The fourth proportional to 135.94, 202.58 and 131.59 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 202.58 = 131.59 : x
  2. Step 2: Convert to fraction form
    135.94/202.58 = 131.59/x
  3. Step 3: Cross multiply
    135.94x = 202.58 × 131.59
  4. Step 4: Simplify right side
    135.94x = 26,657.50
  5. Step 5: Solve for x
    x = 26,657.50/135.94
  6. Step 6: Final answer
    x = 196.10

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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.