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Finding the Fourth Proportional to 142.33, 214.68 and 135.15

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Solution

The fourth proportional to 142.33, 214.68 and 135.15 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.33 : 214.68 = 135.15 : x
  2. Step 2: Convert to fraction form
    142.33/214.68 = 135.15/x
  3. Step 3: Cross multiply
    142.33x = 214.68 × 135.15
  4. Step 4: Simplify right side
    142.33x = 29,014.60
  5. Step 5: Solve for x
    x = 29,014.60/142.33
  6. Step 6: Final answer
    x = 203.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.