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Finding the Fourth Proportional to 133.33, 199.93 and 52.15

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Solution

The fourth proportional to 133.33, 199.93 and 52.15 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.33 : 199.93 = 52.15 : x
  2. Step 2: Convert to fraction form
    133.33/199.93 = 52.15/x
  3. Step 3: Cross multiply
    133.33x = 199.93 × 52.15
  4. Step 4: Simplify right side
    133.33x = 10,426.35
  5. Step 5: Solve for x
    x = 10,426.35/133.33
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.