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Finding the Fourth Proportional to 308.00, 462.31 and 145.67

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Solution

The fourth proportional to 308.00, 462.31 and 145.67 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.00 : 462.31 = 145.67 : x
  2. Step 2: Convert to fraction form
    308.00/462.31 = 145.67/x
  3. Step 3: Cross multiply
    308.00x = 462.31 × 145.67
  4. Step 4: Simplify right side
    308.00x = 67,342.02
  5. Step 5: Solve for x
    x = 67,342.02/308.00
  6. Step 6: Final answer
    x = 218.64

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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.