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Finding the Fourth Proportional to 141.03, 210.15 and 135.81

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Solution

The fourth proportional to 141.03, 210.15 and 135.81 is: 202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.03 : 210.15 = 135.81 : x
  2. Step 2: Convert to fraction form
    141.03/210.15 = 135.81/x
  3. Step 3: Cross multiply
    141.03x = 210.15 × 135.81
  4. Step 4: Simplify right side
    141.03x = 28,540.47
  5. Step 5: Solve for x
    x = 28,540.47/141.03
  6. Step 6: Final answer
    x = 202.37

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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.