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Finding the Fourth Proportional to 423.66, 635.39 and 135.10

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Solution

The fourth proportional to 423.66, 635.39 and 135.10 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.66 : 635.39 = 135.10 : x
  2. Step 2: Convert to fraction form
    423.66/635.39 = 135.10/x
  3. Step 3: Cross multiply
    423.66x = 635.39 × 135.10
  4. Step 4: Simplify right side
    423.66x = 85,841.19
  5. Step 5: Solve for x
    x = 85,841.19/423.66
  6. Step 6: Final answer
    x = 202.62

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Why These Related Problems?

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