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Finding the Fourth Proportional to 307.45, 421.57 and 300.16

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Solution

The fourth proportional to 307.45, 421.57 and 300.16 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 421.57 = 300.16 : x
  2. Step 2: Convert to fraction form
    307.45/421.57 = 300.16/x
  3. Step 3: Cross multiply
    307.45x = 421.57 × 300.16
  4. Step 4: Simplify right side
    307.45x = 126,538.45
  5. Step 5: Solve for x
    x = 126,538.45/307.45
  6. Step 6: Final answer
    x = 411.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.