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Finding the Fourth Proportional to 145.85, 217.69 and 133.67

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Solution

The fourth proportional to 145.85, 217.69 and 133.67 is: 199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 217.69 = 133.67 : x
  2. Step 2: Convert to fraction form
    145.85/217.69 = 133.67/x
  3. Step 3: Cross multiply
    145.85x = 217.69 × 133.67
  4. Step 4: Simplify right side
    145.85x = 29,097.20
  5. Step 5: Solve for x
    x = 29,097.20/145.85
  6. Step 6: Final answer
    x = 199.51

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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.