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Finding the Fourth Proportional to 308.07, 462.07 and 113.06

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Solution

The fourth proportional to 308.07, 462.07 and 113.06 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 462.07 = 113.06 : x
  2. Step 2: Convert to fraction form
    308.07/462.07 = 113.06/x
  3. Step 3: Cross multiply
    308.07x = 462.07 × 113.06
  4. Step 4: Simplify right side
    308.07x = 52,242.93
  5. Step 5: Solve for x
    x = 52,242.93/308.07
  6. Step 6: Final answer
    x = 169.58

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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.