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Finding the Fourth Proportional to 307.45, 423.84 and 229.69

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Solution

The fourth proportional to 307.45, 423.84 and 229.69 is: 316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 423.84 = 229.69 : x
  2. Step 2: Convert to fraction form
    307.45/423.84 = 229.69/x
  3. Step 3: Cross multiply
    307.45x = 423.84 × 229.69
  4. Step 4: Simplify right side
    307.45x = 97,351.81
  5. Step 5: Solve for x
    x = 97,351.81/307.45
  6. Step 6: Final answer
    x = 316.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.