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Finding the Fourth Proportional to 423.68, 635.64 and 135.12

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Solution

The fourth proportional to 423.68, 635.64 and 135.12 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 635.64 = 135.12 : x
  2. Step 2: Convert to fraction form
    423.68/635.64 = 135.12/x
  3. Step 3: Cross multiply
    423.68x = 635.64 × 135.12
  4. Step 4: Simplify right side
    423.68x = 85,887.68
  5. Step 5: Solve for x
    x = 85,887.68/423.68
  6. Step 6: Final answer
    x = 202.72

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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.