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Finding the Fourth Proportional to 142.83, 212.96 and 133.52

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Solution

The fourth proportional to 142.83, 212.96 and 133.52 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 212.96 = 133.52 : x
  2. Step 2: Convert to fraction form
    142.83/212.96 = 133.52/x
  3. Step 3: Cross multiply
    142.83x = 212.96 × 133.52
  4. Step 4: Simplify right side
    142.83x = 28,433.69
  5. Step 5: Solve for x
    x = 28,433.69/142.83
  6. Step 6: Final answer
    x = 199.07

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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.