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Finding the Fourth Proportional to 142.83, 212.76 and 135.54

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Solution

The fourth proportional to 142.83, 212.76 and 135.54 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 212.76 = 135.54 : x
  2. Step 2: Convert to fraction form
    142.83/212.76 = 135.54/x
  3. Step 3: Cross multiply
    142.83x = 212.76 × 135.54
  4. Step 4: Simplify right side
    142.83x = 28,837.49
  5. Step 5: Solve for x
    x = 28,837.49/142.83
  6. Step 6: Final answer
    x = 201.90

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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.