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Finding the Fourth Proportional to 135.08, 202.95 and 130.22

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Solution

The fourth proportional to 135.08, 202.95 and 130.22 is: 195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.08 : 202.95 = 130.22 : x
  2. Step 2: Convert to fraction form
    135.08/202.95 = 130.22/x
  3. Step 3: Cross multiply
    135.08x = 202.95 × 130.22
  4. Step 4: Simplify right side
    135.08x = 26,428.15
  5. Step 5: Solve for x
    x = 26,428.15/135.08
  6. Step 6: Final answer
    x = 195.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.