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Finding the Fourth Proportional to 142.77, 212.80 and 133.59

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Solution

The fourth proportional to 142.77, 212.80 and 133.59 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 212.80 = 133.59 : x
  2. Step 2: Convert to fraction form
    142.77/212.80 = 133.59/x
  3. Step 3: Cross multiply
    142.77x = 212.80 × 133.59
  4. Step 4: Simplify right side
    142.77x = 28,427.62
  5. Step 5: Solve for x
    x = 28,427.62/142.77
  6. Step 6: Final answer
    x = 199.11

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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.